Question:
square root of 24 in simplest radical form?
bstuek
2013-08-20 12:13:26 UTC
would it be 3 root 2?
Two answers:
Ms. Worth
2013-08-20 12:32:14 UTC
To solve this problem, you have to factor 24 to find any perfect square factors it might have.



There are lots of ways to factor 24, but most of them are useless for this question because they are not perfect squares. The goal of factoring in problems like this is to find some perfect squares which are factors of 24.



After thinking about it for a minute, you can see that factoring 24 as ( 4 ) * ( 6 ) will work, because 4 is a perfect square.



Simplify √24



Factor 24 to find any factors which are perfect squares

After you factor, you get this

√ 4 * 6



Bring the square root of the perfect square to the outside of the square root box, and leave the other factors inside, like this

2 √ 6 --- answer
?
2013-08-20 19:14:05 UTC
2 root 6


This content was originally posted on Y! Answers, a Q&A website that shut down in 2021.
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