Mathematics: Which is equivalent to the square root of 54.

Which is equivalent to the square root of 54.

Ответ:

webbjalia04

13.02.2022

3 $\sqrt{6}$

We first need to break up 54 into prime factors. An easy way to do this is two divide by something like 2 or 3 and repeating the process until you end up with all prime numbers. Simplifying 54 would look something like this. 54 = 27*2 , 27 = 9*3 , 9 = 3*3

We now take all the prime factors we have there and rewrite it into $\sqrt{54}$ = $\sqrt{2*3*3*3}$ . We have to take out each pair of the same factor we see since its the square root. Resulting in $3\sqrt{2*3}$ Simplify the inside and we finally get the answer of 3 $\sqrt{6}$