4. Square root of a number using prime factorization method
Find Square root of 900 using prime factorization method
Solution:
First find factors of 900
2
900
2
450
3
225
3
75
5
25
5
5
1
`900 = 2 × 2 × 3 × 3 × 5 × 5`
`900 = 2^2 * 3^2 * 5^2`
`sqrt(900) = sqrt(2^2 * 3^2 * 5^2)` (Taking square root)
`= 2 × 3 × 5`
`= 30`