Question

is 5400 a perfect square if not then find the smallest no. by which it should be multiplied resulting a perfect square​

Answer 1

Answer:

5400 must be multiplied by 6 to make it a perfect square

Step-by-step explanation:

Given the number 5400

we have to find the smallest number by which the above number is multiplied to make it a perfect square.

The prime factorization is

5400=2x2x2x3x3x3x5x5

The above number is perfect square number if the all the prime factors occur in pairs.

Therefore to make the above number a perfect square we multiplied with prime factors which are not in pair i.e 2x3=6

hence, 5400 must be multiplied by 6 to make it a perfect square