What is the simplified form of the square root of 24 multiplied by the square root of 12?

Question

Mathematics

Janiyah Newton

7 April, 07:29

What is the simplified form of the square root of 24 multiplied by the square root of 12?

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Answers (2)

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Brown Sugar · Answer 1

Well the square root of 24 is basically (all the factors) 2x2x3x2 Right? So when we do the square root you would need two of the same number to be a literal "whole number".

So what you get is 2 that is repeated and 3x2 left. Now all you have to do is the same thing with the square root of 12, getting 2x2x3, or 2 times the square root of three.

So all you do is multiply 2 square root of 6 and 2 square root of three, and from there if you can simplify further with the method I used, then that is the final answer

Elianna · Answer 2

Square root of 24 can be written as 2 (square root of 6)

square root of 12 can be written as 2 (square root of 3)

2 (square root of 6) 2 (square root of 3)

4 (square root of 18)

square root of 18 can be written as 2 (square root of 2)

=8 (square root of 2)