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NCERT Solutions Class 9 Mathematics Solutions for Number System - Exercise 1.5 in Chapter 1 - Number System

Question 7 Number System - Exercise 1.5

2 –√5 is a rational number.

Answer:

We know that, √5 = 2.2360679…

Here, 2.2360679…is non-terminating and non-recurring.

Now, substituting the value of √5 in 2 –√5, we get,

2-√5 = 2-2.2360679… = -0.2360679...

Since the number, – 0.2360679…, is non-terminating non-recurring, 2 –√5 is an irrational number.

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