Question

Find the smallest whole number by which 2268 should be multiplied so as to
get a perfect square number. Also find the square root of the square number
so obtained.

Answer 1

Answer:

Correct option is B)

252=

2×2

​

×

3×3

​

×7

The prime factor 7 does not appear in pairs. To make 252 a perfect square we need one more 7.

Hence, the smallest number  by which 252 must be multiplied so that

the product is a perfect square is 7.

And, 252×7=

2×2

​

×

3×3

​

×

7×7

​

252×7

​

=

2×2

​

×

3×3

​

×

7×7

​

​

=2×3×7=42

Step-by-step explanation: