Question

By which smallest number can 275be multiplied to get a perfect saqure root

Answer 1

Answer:

11

Step-by-step explanation:

First we do prime factorisation of 275

275= 5× 5× 11

We know, for a number to be a perfect square, it's prime factorisation must have all it's prime factors in complete pairs.

According to this, we have,

275 consists of a complete pair of prime factor 5 and a single 11, which needs to be made into a pair, so that the resulting number is a perfect square

Thus, if we multiply another 11 to 275, it will complete the pair with the already present 11, and thus make a complete square.

This 11 is the smallest number by which 275 can be divided to get a perfect square.

Hope you get your answer.