Question

find the square root of 900 by prime factorization method

Answer 1

√900=√2*2*5*5*3*3=2*5*3=30.(Ans.)

Answer 2

Hey

Here is your answer,

900
/ \
3. 300
/ \
3. 100
/ \
5. 20
/ \
2. 10
/ \
5. 2

900= 3x3x5x2x5x2
= 3x 3x 5x 5x 2x 2
=(3)^2 x (5)^2 x (2)^2
=(2x 3x 5)^2
=(30)^2

Therefore the square root of 900 is 30.

Hope it helps you!