Question

=
2 X 3 = 6
3. 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

2 is the smallest number that should be multiplied to 648 to get a perfect square.

Step-by-step explanation:

Step 1) Take LCM of 648 that is 2 x 2 x 2 x 3 x 3 x 3 x 3.

Step 2) Make pairs of two digits in each.

Such as take 2 x 2 as only one two.

When we make pairs only one 2 is left so we need another 2 to complete the pair. Therefore we multiply 648 by 2 to make it a perfect square.

After multiplying it by 2 we get 1296 as perfect square and √1296 = 36.

See the photo.