Solve using method of prime factorization:

$11025 =$ [[1]].

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

(Unlock A.I Detailed Solution for FREE)

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Using method of prime factorization,

11025 = 105.

The given number is 11025.
The prime factorization of 11025 is
Question Image

The prime factorization of 11025 is,

11025 = 3 × 3 × 5 × 5 × 7 × 7

Making pair the prime factors, we get,

11025 = 3 × 3 ¯ × 5 × 5 ¯ × 7 × 7 ¯ .

Now, taking the product of prime factors, choosing one factor out of every pair, we get,

11025 = 3 × 5 × 7 = 105.

Thus, the square root of 11025 is 105.

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