Find the smallest number by which 180 must be multiplied so that it becames a perfect square. Also, find the square root of the perfect square so obtained.
180 = 22 × 32 × 5
= (2 × 2) × (3 × 3) × 5
To make the unpaired 5 into paired, multiply the number with 5
Therefore,
180 × 5 = 22 × 32 × 52
Hence, square root of number = 
× 
= 2 × 3 × 5
= 30
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