Question

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

Answer 1

Resolve given Numbers into

product of prime numbers.

196 = 2×2×7×7

225 = 3×3×5×5

Now ,

√(196/225)

= √[(2×2)×(7×7)/(3×3×(5×5)]

= (2×7)/(3×5)

= 14/15

Therefore ,

√(196/225) = 14/15

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