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Q.

For the following number, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also find the square root of the square number so obtained.
1458


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a

5

b

2

c

3

d

7 

answer is B.

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Detailed Solution

Given number is 1458.
Question ImageHence, prime factor 2 does not have its pair. If 2 gets a pair, then the number becomes a perfect square. Therefore, 1458 has to be multiplied by 2 to get a perfect square.
So, perfect square is 1458 × 2 = 2916
Henec, the smallest whole number by which it should be multiplied so as to get a perfect square number is 2.
 
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