Question

Find the least number by which 6125 should be multiplied to get a
perfect square number. Also, find the number whose square is the
resulting new number.

# I want that the answer should be given by devil as he give all the correct answer with explanation​

Answer 1

QUESTION:-

Find the least number by which 6125 should be multiplied to get a perfect square number. Also, find the number whose square is the resulting new number.

ANSWER:-

175

STEP BY STEP SOLUTION:-

Resolving 6125 into prime factors, we get 6125

= 5 × 5 × 5 × 7 × 7

Clearly, on grouping the prime factors of 6125 into pairs of equal factors, we are left with a factor 5, which cannot be paired.

Thus, we must multiply 6125 by 5 to get a perfect square number.

New number =

➙ 6125 × 5

➙ 5 × 5 × 5 × 5 × 7 × 7

➙ 5² × 5² × 7²

➙ (5 x 5 x 7)²

➙ (175)³

Answer 2

Find the least number by which 6125 should be multiplied to get a perfect square number. Also, find the number whose square is the resulting new number.

175