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