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Elenna [48]
3 years ago
8

Can square root of 32 be simplified

Mathematics
2 answers:
Bogdan [553]3 years ago
5 0
Well let's check

√32 = √8*4 = 4√2

Yes it can
erastovalidia [21]3 years ago
3 0
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
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