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Q.

What is the square root of 1225?


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a

31

b

35

c

37

d

40 

answer is B.

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Detailed Solution

It is required to find the square root of 1225.
Now, using prime factorization, express 1225 as the product of two prime factors, and create similar factor pairs where the two factors in each pair are equal.
⇒5×5×7×7= 5 2 × 7 2  
Find the square root.
⇒ 1225 = 5 2 × 7 2 ⇒5×7 ⇒35  
Hence, 35 is the square root of 1225.
Therefore, option 2 is correct.
 
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