Question

Which is equivalent to the square root of 54.

Answer 1

3*4

Explanation:

Answer 2

Answer:3
`√(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
`√(54)` =
`√(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√(2*3)` Simplify the inside and we finally get the answer of 3
`√(6)`