Question

find the smallest number by which 9408 must be divided so that the quotient is a perfect square find the square root of the quotient​

Answer 1

Answer:

the answer to this question is 12.

and the quotient is 784

and the square root of the quotient 784 is 28.

you can do it simply by factoring 9408

hope this helps

Answer 2

Answer:

9408= 2x2 x2x2 x2x2 x7x7 x3

we observe that prime factor 3 does not form a pair.

Therefore, we must divide rhe number by 3 so that the quotient becomes a perfect square.

9408/3= 3136

3136=(2x2)x(2x2)x(2x2)x(7x7)

Now, each prime factor occurs in pairs.Therefore,the required smallest number is 3.

$\sqrt{3136 = 2 \times 2 \times 2 \times 7 = 56}$

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