Find the least positive number by which 180must be multiplied to get a perfect square number
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180=2×2×3×3×5
180=2²×3²×5
To make it a perfect square we need to have pairs of all prime factors
so we will multiple it by 5, to make it a perfect square
Now, 2×2×3×3×5×5=900
√900=2×3×5
=30
180=2²×3²×5
To make it a perfect square we need to have pairs of all prime factors
so we will multiple it by 5, to make it a perfect square
Now, 2×2×3×3×5×5=900
√900=2×3×5
=30
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