Question

Find the smallest number by which 9075 should be multiplied so

That the product is a perfect square. Also find the square root the

Number so obtained.​

Answer 1

first we will find its factors

9075: 5×5×3×11×11

we se here that 3 is not forming pairs , so 3 is the smallest no. to be multiplied by 9075 to get a product that is perfect square.

9075×5 = 45375

now we will find the square root of 45375 that is

√5×5×3×3×11×11= 5×3×11

= 165

Answer 2

Answer:

165

Explanation:

by prime factorization

9075 = 5×5×3×11×11

clearly 3 is that smallest number , so perfect number so obtained is 9075×3=27225

✓277225 = ✓ 5×5×3×3×3×11×11

= 5×11×3

= 165