√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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