Question

by what smallest number should 216 be divided so that the quotient is a perfect square.also find the square root of the quntity​

Answer 1

Answer:

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Step-by-step explanation:

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

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 =  = 36

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

= 2 × 3 = 6

Answer 2

Answer:

216 = 6³

so it should be divided by 6 to get 6² or 36 which is a perfect square and it's square root is 6.

Step-by-step explanation:

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