Question

find the value of 32^1/2

Answer 1

Answer:

$(32) {}^{ \frac{1}{2} } = (2) {}^{8 \times \frac{1}{2} } \\ ( {2})^{4} = 16$

Answer 2

The required value is 4√2.

Given:

32^1/2

To find:

The value of 32^1/2

Solution:

The required value can be obtained by taking the square root of the given number.

We know that $32^{1/2}$=$\sqrt{32}$

The factors of 32=2×2×2×2×2=$2^{5}$

So, the value of √32=√(2×2×2×2×2)

=2×2×√2

=4√2

Therefore, the required value is 4√2.