Question

by what smallest number 675 be multiplied so that the product become a perfect square number?​

Answer 1

Answer:

$\huge\tt\underline{Question}$

By what smallest number 675 be multiplied so that the product became a perfect square number?

$\huge\tt\underline{to\:find}$

smallest number to be multiplied so that the product became a perfect square number.

$\huge\tt\underline{solution}$

$675 = 3 \times 3 \times 3 \times 5 \times 5$

the prime number 5 does not appear in group of three.so 675 is not perfect cube.to make it perfect square we need one more 5.

hence,the smallest number by which 675 must be multiplied so the product is a perfect square is 5.