Math, asked by kushalchacha8218, 28 days ago

divide, so that the quotient is a perfect square​

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Answered by llCuteChorill
0

Answer:

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Answered by Dash24
1

Answer:

Prime factors of 216 = 2 × 2 × 2 × 3 × 3 × 3

216 = 2² × 3² × 2 × 3

We find that, there is no prime factor from a pair with 2 and 3

Therefore, We must divide the number by 6 so that the quotient becomes a perfect square.

If we divide the given number by 2 × 3 = 6, then

New number = 216/6= 36

Taking one factor from each, we get square root of new number (quotient)

= 2 × 3 = 6

Hope it helps!

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