Question

2. Find the smallest number by which 9402 must be divided so that it becomes a pertest
square. Also, find the square root of the perfect square so obtained​

Answer 1

To find out :

◕ The smallest number by which 9402 must be divided so that it becomes a perfect square.

◕ Also, find the square root of the perfect square so obtained.

SoluTion :

9402 = 2×2×2×2×2×2×3×7×7 (prime factors)

Here, altogether we got the pairs of 2 and 7..

But, we didn't got any pair of 3..

So, 3 must be divided with 9402.. As because we didn't got any pair...

$➯ \: \dfrac{9408}{3} \: = \: 3136$

$➯ \: \sqrt{3136} = 56$

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∴ Hence, 3136 is the smallest number and square root is 56.

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Answer 2

• 3136 = smallest number

• 56 = square root ...