Multiplication And Division Of Radicals

Multiplication And Division Of Radicals

MULTIPLICATION AND DIVISION OF RADICALS​

Daftar Isi

1. MULTIPLICATION AND DIVISION OF RADICALS​


Answer:

Multiplying Radicals: When multiplying radicals (with the same index), multiply under the radical, and then multiply in front of the radical (any values multiplied times the radicals). Multiply the values under the radicals. Then simplify the result.


2. multiplication and division of radicals ​


Answer:

Question 1

Answer: 3

√3 x √3

simplify the radical expression

3

Question 2

Answer: 48√5

2√12 x 4√15

multiply numbers with radicals

8√180

Factor and rewrite the radicand in exponential form

8√6² x 5

Question 3

Answer: 6

2√3 x √3

simplify the radical expression

2 x 3

Calculate the product or quotient

6

Question 4

Answer: 5

4

√25

2√4

Factor and rewrite the radicand in exponential form

√5²

2√2²

simplify the radical expression

5

2 x 2

Question 5

Answer:

1

5

√4

2√25

Factor and rewrite the radicand in exponential form

√2²

2√5²

simplify the radical expression

2

2 x 5

Step-by-step explanation:

tma bqo?.


3. multiplication and division of radicals ​


Answer:

1. 13

2. 18

3. 33

4. 5/6

5. 25


4. multiplication of radicals example


1.)\/3 x\/3= \/9;

=3;

2.) \/4  x  \/9;

=\/36;
=6



5. topic: MULTIPLICATION AND DIVISION OF RADICALS​


Answer:

sorry po bago palang aq

Step-by-step explanation:

Multiplication multiplication


6. what you have learned about multiplication and division of radicals​


Answer:Any expression that contains the square root of a number is a radical expression. ... Radical expressions are utilized in financial industries to calculate formulas for depreciation, home inflation and interest. Electrical engineers also use radical expressions for measurements and calculations.

Step-by-step explanation:#CARRYONLEARNING


7. multiple radicals answer​


Answer:

The "index" is the very small number written just to the left of the uppermost line in the radical symbol. If there is no index number, the radical is understood to be a square root (index 2) and can be multiplied with other square roots.

Step-by-step explanation:

To multiply radicals using the basic method, they have to have the same index.


8. Division of radicals


When dividing radicals with the same index, divide the radicands and the index remains the same.

Division with the Same Index

Dividing Radicals

Dividing Radicals


When dividing radicals with the same index, divide the radicands and the index remains the same.

Division with the Same Index

Dividing Radicals

Dividing Radicals

9. multiplication and division of radicals ​


Answer:

1.)3a

2.)[tex]48 \sqrt{5b {}^{2} } [/tex]

3.)[tex]6 \sqrt{xy} [/tex]

4.)

5|x|

4|y|

5.)[tex]a \sqrt{ab} [/tex]

[tex]5b {}^{2} [/tex]

(SANA MA GETS NYO ANSWER KO:>)

THANKS ME LATER.


10. how to divide radicals? (division of radicals)


When dividing radical expressions, use the quotient rule.For all real values, a and b, b ≠ 0If n is even, and a ≥ 0, b > 0, then If n is odd, and b ≠ 0, then That's a mathematical symbols way of saying that when the index is even there can be no negative number in the radicand, but when the index is odd, there can be.Radical expressions are written in simplest terms whenThe index is as small as possible.The radicand contains no factor (other than 1) which is the nth or greater power of an integer or polynomial.The radicand contains no fractions.No radicals appear in the denominator.Example 1Simplify each of the following.Using the quotient rule for radicals,Using the quotient rule for radicals,use the quotient rule.

11. multiplication of radicals​


Answer:

Step-by-step explanation:

Are you asking for the process?

1 .20

2. 84?

he slowly getting


12. MULTIPLICATION OF RADICALS MULTIPLY AND SIMPLIFY THE FOLLOWING RADICALS SHOW YOUR SOLUTIONS.​


Answer:

maging matalino kayo okay


13. Create a step-by-step process on how to solve and simplify multiplication and division of radical expressions.​


Answer:

accepting question from 30 points pi ako eh30


14. multiplication and division of radicals​


Answer:

Madali lang yan,Answer mona lang ok

Step-by-step explanation:

cause 1973×8336 1÷53

Answer:

hwhjwjwjsjzbnsjwwbwu2jwjjejee


15. multiplication of radicals​


Answer:

Yan po examples of your questions

Step-by-step explanation:

I hope this


16. Multiplication of radicals ​


please see the picture for answer

Answer:

14

Step-by-step explanation:

(4 - √2) (4 + √2)

= (4)² + (-4√2) + (4√2) + (-(√2)²)

= 16 + (-2)

= 16 - 2

= 14

17. In multiplication and division of polynomials containing radicals what is (□root of 2+2)(□root of 2-3) ?


(√2+2)(√2-3)
(√4)(√2-3)
(2)(√2-3)
=2√2-3

18. Division of radicals ​


Answer:

Rationalize(1.08886688879) I short 1.09 I guess

Step-by-step explanation:

hope it's help:)


19. multiplication and division radicals, pasagot po ng maayos at thank you sa mag sasagot i appreciate it po...​


Answer:

6. B

7. D

8. B

9. D

10. C

Step-by-step explanation:


20. Pa help po Please Topic: (Multiplication and division of Radicals) (With solution)Thank you ​


Step-by-step explanation:

Please see the picture for answer and solution

sorry for the handwriting ang the picture quality ~~


21. addition, division, multiplication, subtruction of radicals (pa answer please thankyou!! kung pwede may solution mas okay,, tysm!)​​


2.) GIVEN: 1ST = [tex]\sqrt{10}[/tex]

                  2ND = [tex]\sqrt{10}[/tex]

ADD:

[tex]\sqrt{10} + \sqrt{10} = 2\sqrt{10}[/tex]

SUBTRACT:

[tex]\sqrt{10} - \sqrt{10} = 0[/tex]

MULTIPLY:

[tex]\sqrt{10} \cdot \sqrt{10} = 10[/tex]

DIVIDE:

[tex]\frac{\sqrt{10} }{\sqrt{10} } = 1[/tex]

3.) GIVEN: 1ST = [tex]3a\sqrt{5}[/tex]

                 2ND = [tex]a\sqrt{10}[/tex]

ADD:

[tex]3a\sqrt{5}+a\sqrt{10} = a\left(3\sqrt{5}+\sqrt{10}\right)[/tex]

SUBTRACT:

[tex]3a\sqrt{5}-a\sqrt{10} = a\left(3\sqrt{5}-\sqrt{10}\right)[/tex]

MULTIPLY:

[tex]3a\sqrt{5}\cdot \:a\sqrt{10} = 15\sqrt{2}a^2[/tex]

DIVIDE:

[tex]\frac{3a\sqrt{5}}{a\sqrt{10}} = \frac{3\sqrt{2}}{2}[/tex]

4.) GIVEN: 1ST = [tex]7\sqrt{b}[/tex]

                 2ND = [tex]2\sqrt{b}[/tex]

ADD:

[tex]7\sqrt{b} + 2\sqrt{b} = 9\sqrt{b}[/tex]

SUBTRACT:

[tex]7\sqrt{b}\:-\:2\sqrt{b} = 5\sqrt{b}[/tex]

MULTIPLY:

[tex]7\sqrt{b}\:\cdot \:2\sqrt{b} = 14b[/tex]

DIVIDE:

[tex]\frac{7\sqrt{b}}{\:2\sqrt{b}} = \frac{7}{2}[/tex]

5.) GIVEN: 1ST = [tex]9\sqrt{2a^{2}b }[/tex]

                  2ND = [tex]2\sqrt{xy}[/tex]

ADD:

[tex]9\sqrt{2a^2 b} + 2\sqrt{xy} \\2\sqrt{a^2 b} = \sqrt{2}a\sqrt{b} \\9\sqrt{2}a\sqrt{b}+2\sqrt{xy}[/tex]

SUBTRACT:

[tex]9\sqrt{2a^2\:b}\:\:-\:2\sqrt{xy}\:\\2\sqrt{a^2 b} = \sqrt{2} a\sqrt{b} \\9\sqrt{2}a\sqrt{b}-2\sqrt{xy}[/tex]

MULTIPLY:

[tex]9\sqrt{2a^2\:b}\:\:\cdot \:2\sqrt{xy}\:\\9\cdot \:2\sqrt{2}a\sqrt{b}\sqrt{xy}\\18\sqrt{2}a\sqrt{b}\sqrt{xy}[/tex]

DIVIDE:

[tex]\frac{9\sqrt{2a^2\:b}}{2\sqrt{xy}\:}\\\frac{9\sqrt{2}a\sqrt{b}}{2\sqrt{xy}}\\\frac{9\sqrt{2}a\sqrt{b}\sqrt{xy}}{2xy}[/tex]


22. perform operations of radical expression addition subtraction multiplication and division of radicals.pasagot po mgaate at kuyagrade9 mathematics​


Answer:

1) 7√5

[tex]2) \: 6\sqrt[3]{3x} [/tex]

3) √3

4) 4√7

5) 7√5-5√3

6) -2

7) 4

8) 6√3

9) 2

[tex]10) \: x\sqrt[4]{5x} [/tex]

hope this helps


23. Pa help po Please Topic: (Multiplication and division of Radicals) (Answer only)Thank you ​


Answer:

1. a^3/2 3√a

2. 4-3√2

3. 3/4

4. 3/2

5. √7 (√3 + √2)

Step-by-step explanation:


24. How to solve division of radicals


use the distributive property to multiply. Therae are no like terms combined. when dividing radicals with the me indexes divide under the radical and divide in front of the radical (divide any values multiplied times the radical)

25. multiplication of radicals ​


Answer:

[tex] \sqrt{3} \times 3 \sqrt{72} [/tex]

[tex] \sqrt{3} \times 3 \sqrt{ {6}^{2} \times 2} [/tex]

[tex] \sqrt{3} \times 3\sqrt{ {6}^{2} } \sqrt{2} [/tex]

[tex] \sqrt{3} \times 3 \times6 \sqrt{2} [/tex]

[tex] \sqrt{3 \times 2} \times 18[/tex]

[tex] \sqrt{6} \times 18[/tex]

[tex]answer \\ 18 \sqrt{6} [/tex]

Answer:

18√6

Step-by-step explanation:

√3  ×  3√72

= (1) · (3)√(3)·√(72)

= 3√216

Factor the radicand 216 where one of the factors is a perfect square:

= 3 √(36) · √(6)

= 3 · 6√6

= 18√6

26. Multiplication and division of radicalsFind the product.1. (square root of 8ab) (square root of 2ab^2)2. (cube root of 32) (cube root of 2)


1. 4ab√b
2. 4
that is my answer

27. Pa help po Please Topic: (Multiplication and division of Radicals) (With solution)Thank you ​


Answer:

are not = 20

and irreplaceable = [tex] \sqrt[21]{ {7}^{10} } [/tex]

consider yourself = [tex] \frac{4}{3} [/tex]

Do not = 6

each one = [tex]9x {y}^{2} \sqrt[3]{ {x}^{2} {y}^{2} }[/tex]

for people = [tex]48 {a}^{3} [/tex]

is unique = [tex] \sqrt[6]{8728} [/tex]

more or less = 3

nor even equal = [tex] {a}^{2} - 7 \sqrt{a} [/tex]

of identical quality = 70

to others = [tex] \frac{1}{3} [/tex]

Do not consider yourself more or less nor even equal to others for people are not of identical quality, each one is unique and irreplaceable

Step-by-step explanation:

[tex] \sqrt{2} \times 5 \sqrt{8} \\ \sqrt{2} \times 5 \sqrt{4(2)} \\ \sqrt{2} \times 5(2) \sqrt{2} \\ \sqrt{2} \times 10 \sqrt{2} \\ = 10 \sqrt{4} \\ = 10(2) \\ = 20[/tex]

[tex] \sqrt[3]{7} \times \sqrt[7]{7} \\ \sqrt[21]{ {7}^{7} } \times \sqrt[21]{ { {7}^{3}} } \\ = \sqrt[21]{ {7}^{7} \times {7}^{3} } \\ = \sqrt[21]{ {7}^{10} } [/tex]

[tex] \frac{4 \sqrt{3} }{3 \sqrt{3} } \\ \frac{4}{3} \times \frac{ \sqrt{3} }{ \sqrt{3} } \\ 1.33 \times 1 \\ = 1.33 \: or \: \frac{4}{3} [/tex]

[tex] \sqrt{9} \times \sqrt{4} \\ 3 \times 2 \\ = 6[/tex]

[tex] \sqrt[3]{9x {y}^{2} } \times 3 \sqrt[3]{3 {x}^{4} {y}^{6} } \\ \sqrt[3]{9x {y}^{2} (3 {x}^{4} {y}^{6} )} \\ \sqrt[3]{27 {x}^{5} {y}^{8} } \\ = 3(3 {x} {y}^{2}) \sqrt[3]{ {x}^{2} {y}^{2} } \\ = 9x {y}^{2} \sqrt[3]{ {x}^{2} {y}^{2} }[/tex]

[tex] {(4 \sqrt{3 {a}^{3} } )}^{2} \\ {(4a\sqrt{3 {a} } )}^{2} \\ 16 {a}^{2} (3a) \\ = 48 {a}^{3} [/tex]

[tex] \sqrt{3} \times \sqrt[3]{18} \\ \sqrt[6]{ {3}^{3} } \times \sqrt[6]{ {18}^{2} } \\ \sqrt[6]{27 \times 324} \\ = \sqrt[6] {8748} \\ or\\ \sqrt[6]{729(12)} \\ = 3 \sqrt[6]{12} [/tex]

[tex] \frac{ \sqrt{27} }{ \sqrt{3} } \\ \frac{ \sqrt{9(3)} }{ \sqrt{3} } \\ \frac{3 \sqrt{3} }{ \sqrt{3} } \\ = 3[/tex]

Please see the pictures for the last three~


28. describe the rules for multiplication and division of radicals please answer..❤️ ​


Answer:

Express the division of the rational numbers in fraction form. Keep the rational number in numerator position as it is but multiply it by the reciprocal of the rational number in the denominator. Multiply the rational numbers, then find the product of them and it is equal to the quotient of the division of the given rational numbers.


29. multiplication of radicals​


Answer:

multiply using foil:

[tex]( \sqrt{5} + 2)^{2} [/tex]

[tex] ( \sqrt{5} + 2) \times ( \sqrt{5} + 2)[/tex]

[tex] \sqrt{5} \sqrt{5} + 2 \sqrt{5} + 2 \sqrt{5} + 2 \times 2[/tex]

[tex]5 + 2 \sqrt{5} + 2 \sqrt{5} + 4[/tex]

[tex]answer \: = 9 + 4 \sqrt{5} [/tex]

simplify using formula:

[tex]( \sqrt{5} + 2)^{2} [/tex]

[tex] \sqrt{5}^{2} + 2 \sqrt{5} + 2 \times {2}^{2} [/tex]

[tex]5 + 4 \sqrt{5} + 4[/tex]

[tex]answer \: = 9 + 4 \sqrt{5} [/tex]


30. (multiplication and division pf radicals)please paki answer po asap! ty ​


Answer:

3.) 4⁴√6

4.) √3³√9

Hope this helps


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