Find the square root of 8100 by prime factorization method.

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

answer is B.

(Unlock A.I Detailed Solution for FREE)

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given number = 8100
Factors of this number,

8100 = 2 \times 2 \times 3 \times 3 \times 3 \times 3 \times 5 \times 5

The values shown above are all prime numbers 2, 3, 5.
On taking square root of both sides we get,

\Rightarrow \sqrt{8100} = \sqrt{2 \times 2 \times 3 \times 3 \times 3 \times 3 \times 5 \times 5}

\Rightarrow \sqrt{8100} = 2 \times 3 \times 3 \times 5

\Rightarrow \sqrt{8100} = 90

Hence, the square root of 8100 = 90.
So, the correct option 2.

Watch 3-min video & get full concept clarity

Ready to Test Your Skills?

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

Take Free Test