# √28/√343. Classify the following numbers as rational or irrational with justification

**Solution:**

It is given that

√28/√343

We can write it as

= √(2 × 2 × 7)/ √(7 × 7 × 7)

So we get

= 2√7/ 7√7

= 2/7

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: √40/√125

It is given that

√40/√125

We can write it as

= √(3 × 3 × 5)/ √(5 × 5 × 5)

So we get

= 3√5/ 5√7

= 3/5

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(iv)**

## √28/√343. Classify the following numbers 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. √28/√343 is a rational number

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