Question

a per
erfect square.
Find out the smallest number which when multiplied by 180, so that the product
becomes a perfect square.​

Answer 1

Answer: 5 is the smallest number

Explanation:

Prime factorization 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 does not have a pair. Therefore we must multiply 180 by 5 to make a perfect square

The new number is 900

(2×2) (3×3) (5×5)

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!!

Hope this helps you....

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