Question

Find the smallest number by which it should be multiplied to get a perfect square number and also find the square root of the square number obtained 180​

Answer 1

Answer:

Question

By what smallest number must 180 be multiplied so that it becomes a perfect square? Also, find the square root of the number so obtained.

ANSWER

180=2×2×3×3×5

So, here is only 5 which is not in pair so, we can say that it multiplied by 5

Square root will be 2×3×5=30

Answer 2

Answer:

180 = 3 x 3 x 2 x 2 x 5

180 = (3 x 3) x (2 x 2) x 5

180 x 5 = (3 x 3) x (2 x 2) x (5 x 5)

900 = 3² x 2² x 5²

√900 = 3 x 2 x 5

= 30

∴The smallest number by which 180 should be multiplied with to get a perfect square is 5.

√900 = 30

Hope it helps you :)