Question

what is the Square root of non perfect square of 32

Answer 1

Hi there

Your answer is :-

√32

√( 4^2 × 2 )

√ 4^2 √2

4√2 ( Ans )

5.65685 ( Alternate Answer )


Thank You

Answer 2

The √32, when written in radical form is 4√2. This is an example of finding the square root of an imperfect square without using a calculator.

There are five prime numbers (all 2's!) as factors. Now, we change the problem and rewrite the √32 as √(2 ∗ 2 ∗ 2 ∗ 2 ∗ 2).

Now we can simplify:

√(2 ∗ 2) = 2 This ''2'' will leave the radical as we already took the square root. We have 2 pairs of these. If you do not see how this is possible, take a look at this quick example:

√(4 ∗ 4) is the same as 2 ∗ 2 which equals 4!

Our new, simplified expression is 2 ∗ 2 √2 which equals 4 √2.

Hope its useful ..!!!!!!