Question

By what number must 180be multipled that it become as perfect sqare ?Also, find the square root of the number so obtained.

Answer 1

Answer:

5 is the correct answer

HOPE YOU UNDERSTOOD THE PROCESS

Answer 2

Answer:

The perfect square = 900

The square root of 900 = 30

Step-by-step explanation:

Prime factorization of 180-

2   -   180

2   -   90

3   -   45

3   -   15

5   -   5

         1

180 = 2 x 2 x 3 x 3 x 5

Here except 5 other two numbers are in pairs

For a perfect all the numbers should be in pairs

So 180 must be multiplied by 5 to make it a perfect square

∴ 180 x 5 = 900

⇒ The perfect square = 900

The square root of 900 = 30

⇒ 30 x 30 = 900

Prime factors of 900

= 2 x 2 x 3 x 3 x 5 x 5

Here all the numbers are in pairs so we can say that this number is a perfect square

hope it helps you..