Question

by what least number should 2475 be multiplied to get a perfect square number. Find the number whose square is new number

Answer 1

Answer:

therefore it must be multiplied by 11.

Answer 2

Answer:

Given 2475,

Resolve 2475 into prime factors, we get

2475=3×3×5×5×11=(3^2×5^2×11)

Now to get perfect square we have to multiply the above equation by 11

Then we get, 2475=3×3×5×5×11×11

New number =(9×25×121)=(3^2×5^2×11^2)

Taking squares as common from the above equation we get

∴ New number =(3×5×11) ^2

=(165)^2

Hence, the new number is square of 165