Question

Classify the following numbers as rational or irrational. Give reasons

b) √196​

Answer 1

Answer:

Step-by-step explanation:

(ii) √196 = 14 in p/q form

Answer 2

Answer:

Rational number.

Step-by-step explanation:

Prime factorization of 196: 2²× 7²

Prime factors of 196 in pairs: (2 × 2) × (7 × 7)

Now square root of 196: √196 = √(2 × 2) × (7 × 7)

√196 = √(2 × 7)²

√196 = (2 × 7) = 14

So, the square root of 196 is 14.