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√196. Classify the following number as rational or irrational with justification

Solution:

It is given that

√196

We know that

196 = 14 × 14

We can write it as

√196 = √14² = 14 which is a rational number

Therefore, the given number is a rational number.

✦ Try This: Classify the following numbers as rational or irrational with justification: √225

It is given that

√225

We know that

225 = 15 × 15

We can write it as

√225 = √15² = 15 which is a rational number

Therefore, the given number is a rational number.

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 1

NCERT Exemplar Class 9 Maths Exercise 1.2 Problem 4(i)

√196. Classify the following number as rational or irrational with justification

Summary:

If a number can be expressed as a fraction where both the numerator and the denominator are integers, the number is a rational number. √196 is a rational number

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