(1 + √5) - (4 + √5). Classify the following numbers as rational or irrational with justification
Solution:
It is given that
(1 + √5) - (4 + √5)
We can write it as
= 1 + √5 - 4 - √5
By further calculation
= -3
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: (3 + √2) - (3 + √2)
It is given that
(3 + √2) - (3 + √2)
We can write it as
= 3 + √2 - 3 - √2
By further calculation
= 0
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(viii)
(1 + √5) - (4 + √5). Classify the following numbers as rational or irrational with justification
Summary:
Natural numbers, whole numbers, integers, fractions of integers, and terminating decimals are rational numbers. (1 + √5) - (4 + √5) is a rational number
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