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Find the smallest number by which 396 must be divided to obtain a perfect square. Also find the square root of the perfect square so obtained.
Given: 396
To find: Here we have to find the smallest number by which 396 must be divided to obtain a perfect square.
Solution:
Prime factorization of 396;
396 = 2 $\times$ 2 $\times$ 3 $\times$ 3 $\times$ 11
A perfect square has each distinct prime factor occurring an even number of times.
So, you should divide 396 by 11
You will get = 36
The square root of the number obtained will be 6.
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