Question

Find the smallest whole no. 1575 should divided so as to get a perfect square.

Answer 1

Answer:

I think 5 is the perfect one

Answer 2

Step-by-step explanation:

1575 = 3 × 3 × 5 × 5 × 7

Grouping them into pairs of equal

factors:

1575 = (3 × 3) × (5 × 5) × 7

The factor, 7 is not paired. For a number to be a perfect square, each prime factor has to be paired. Hence, 1575 must be divided by 7 for it to be a perfect square.The new number would be (3 × 3)×(5 × 5).

Furthermore, we have:

(3 × 3) × (5 × 5) = (3 × 5) × (3 × 5)

Hence, the number whose square is the new number is:

3x5=15