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Q.

Using prime factorisation, what is the value of the square roots of 4761?


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a

60

b

67

c

68

d

69 

answer is D.

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Detailed Solution

The given number is 4761.
Making use of prime factorization, represent the provided number as a product of similar prime factors, then create pairs of similar factors where the two factors in each pair are identical.
4761=3×3×23×23 ⇒ 3 2 × 23 2  
The number is a perfect square since there are no factors left over in the grouping (pairs). 4761 = 3 2 × 23 2   ⇒3×23= 69  
As a result, 4761's square root value is equal to 69.
Therefore, option 4 is correct.
 
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