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.
$32=2^5$
$=\sqrt{2^5}$
Since we don't want an odd number, we can split it into two.
$=\sqrt{2^4\cdot \:2}$
$=\sqrt{2}\sqrt{2^4}$
Since we want to remove one of the square roots, we have to do something like this: $\sqrt{2^4}=2^{\frac{4}{2}}=2^2$
We would be left with,
$=2^2\sqrt{2}$
Simplify the exponent.
$=4\sqrt{2}$
This tells us that the square root of 32 can be simplified.

Thanks!
-TetraFish