Question

Find the smallest number by which 180 should be

multiply to get a perfect square. Also find the square root of

the number so obtained.​

Answer 1

Answer:

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Step-by-step explanation:

Solution. Taking one factor from each pair on the LHS, the square root of the new number is 2 x 3 x 5, which is equal to 30.

Answer 2

Answer:

The new number which is perfect square is 900.

Step-by-step explanation:

The prime factorisation of 180 is 2×2×3×3×5

Grouping the factors into pairs of equal factors, we get :

180=(2×2) ×(3×3) ×5

The factor, 5 doesn't have a pair, therefore, we must multiply 180 by 5 to make a perfect square the new number is (2×2)×(3×3)×(5×5)=900

Taking one factor from each pair on the LHS, the square root of the new number is 2×3×5, which is equal to 30.