Question

3. Is 2352 a perfect square if not find the smallest number by which 2352 must be
multiplied so that the product is a perfect square. Find the square root of the new number
​

Answer 1

Answer:

take factors of 2352

2352=2*2*2*2*3*7*7

it is clear that 3 is the only no. without a pair

so we should mulitply the above no. by 3 to make it a perfect square.

on multiplying we get = 7056

7056=2*2*2*2*3*3*7*7

so square root will be

= 2*2*3*7=84