Question

196/225 - Find the square root of the given number by factorization.

Answer 1

hey here is ur answer

the square root of 196/225 = 14/15

I hope this helps u

Answer 2

Solution :

Resolving 196 and 225 as product

of prime , we get

i )

2 | 196
______
2 | 98
______
7 | 49
______
*****7

196 = 2 × 2 × 7 × 7

ii )

5 | 225
_______
5 | 45
_______
3 | 9
_______
*****3

225 = 5 × 5 × 3 × 3

Now ,

√ ( 196/225 )

= √[(2×2)×(7×7)/(5×5)×(3×3)]

= ( 2 × 7 )/( 5 × 3 )

= 14/15

Therefore ,

√(196/225) = 14/15

••••