Question

12. Find the smallest number by which 2250 should be:
a. multiplied, so that the product is a perfect
square,
b. divided, so that the quotient is a perfect square.
Also, find the square roots of the perfect square
numbers obtained in both the cases.​

Answer 1

Answer:

Correct option is

B

7,42

252=

2×2

×

3×3

×7

Step-by-step explanation:

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