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

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

answer is D.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

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 ⇒ 32 × 232

The number is a perfect square since there are no factors left over in the grouping (pairs).

4761 = 32 × 232 ⇒ 3 × 23 = 69

As a result, 4761's square root value is equal to 69.
Therefore, option 4 is correct.

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th