# Fins the least positive no. by which 180 must be multiplied to get a perfect square no.

2
by guddi2

2015-10-21T17:49:23+05:30

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If we multiply 5 to 180 it becomes 900 which is perfect square of 30.
2015-10-21T19:07:01+05:30

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180 = 2×2×3×3×5 = 2² × 3² × 5
to make it a perfect square, we need to have pairs of all prime factors.
Since there is only one 5, to make it a perfect square, multiply it by 5.
So you need to multiply by 5.

You can check that it actually becomes a perfect square,
180×5 = 900
√900 = 30
So it becomes a perfect square by multiplying with 5.