Question

Check whether the given numbers are perfect
square or not. If not, then find the smallest
number by which the given number must be
multiplied so as to get a perfect square in each
case.
(a) 648

Answer 1

Answer:

No. It is not a perfect square

Step-by-step explanation:

A number is a perfect square if its square root is an integer. The square root of 648 is about 25.456.

This is not an integer. Hence 648 is not a perfect square.

To find the least number, let's do prime factor pairing,

648= 2*2*2*3*3*3*3

= 2²*3²*3²*2

Therefore, smallest number we need to multiply is 2. This then gives us 648*2=1296

The square root of 1296 is 36, which is an integer.

Therefore, the answer is 2