Question

By which smallest number must 5400 be multiplied to make it a perfect square

Answer 1

5400 = 6×3×3×10×10

since 6 is not in pair hence we multiply by 6

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Answer 2

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

$5400=2\times 2\times 2\times 3\times 3\times 3\times 5\times 5$

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

$2\times 3=6$

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