Question

find the smallest number by which 54 must be multiplied to get a perfect square

Answer 1

Answer:

It should be multiplied by 6.

Step-by-step explanation:

by prime factorization, we get

54 = 2x3x3x3

we need pairs to make it a perfect square

so we need one more three and two

i.e. , 3x2 = 6

and now 3x3 x 2x2 x 3x3.

hence now it is perfect square

and square root of the number

3x3x2 = 12

and the number is 144