Question

By what smallest number should 216 be divided so that the quotient is a perfect square. Also find the square root of the quotient. ​

Answer 1

Answer:

square root of 216 is 14.975

Answer 2

216 = 2×2×2×3×3×3

Here, the pair of 2 and 3 is not completed.

So, 216 is not perfect square.

The number should be divided by 3×2 to make it perfect square.

216÷6=36

Factors of 36=2×2×3×3 which is the perfect square of 2×3=6

Now, 36 is perfect square.

Hence, the smallest number 6 should be divide by 216 so that the quotient is a perfect square.

The quotient is 36 and

√36= 6