Question

Find the smallest number by which 540 must multiplied to get a perfect square.also find the square root of the perfect square

Answer 1

Answer:

Step-by-step explanation:

First, factorize the number 540

2     |     540

2     |     270

3     |     135

3     |     45

3     |     15

5     |     5

      |     1

540 = 2² x 3³ x 5

For a perfect square, the powers of all factors must be divisible by 2.

Hence, 3 x 5 is required to be multiplied to the number so that the required factors are

(2² x 3³ x 5) x 3 x 5

= 2² x $3^{4}$ x 5²

= 8100

Square root of the number can be calculated by dividing the power of each factor by 2

Square root = 2 x 3² x  5 = 90

Answer 2

Step-by-step explanation:

answer 90 i think it helps you