Question

Can square root of 32 be simplified

Answer 1

Well let's check

√32 = √8*4 = 4√2

Yes it can

Answer 2

Hey!

First, we have to break 32 into its primes.

`32=2^5`

`=√(2^5)`
Since we don't want an odd number, we can split it into two.

`=√(2^4\cdot \:2)`

`=√(2)√(2^4)`
Since we want to remove one of the square roots, we have to do something like this:
`√(2^4)=2^{(4)/(2)}=2^2`
We would be left with,

`=2^2√(2)`
Simplify the exponent.

`=4√(2)`
This tells us that the square root of 32 can be simplified.

Thanks!
-TetraFish