Advertisements
Advertisements
Question
Give an example of two irrationals whose sum is rational.
Solution
Let `(2 + sqrt(3)), (2 - sqrt(3))` be two irrationals.
∴ `(2 + sqrt(3)) + (2 - sqrt(3))` = 4 = rational number
APPEARS IN
RELATED QUESTIONS
Identify the following as rational or irrational number. Give the decimal representation of rational number:
`-sqrt64`
In the following equation, find which variables x, y, z etc. represent rational or irrational number:
y2 = 9
Give an example of two irrational numbers whose:
quotient is a rational number.
Find two irrational numbers lying between 0.1 and 0.12.
Classify the numbers π as rational or irrational:
Prove that of the numbers `sqrt (6) ` is irrational:
Give an example of two irrationals whose product is rational.
Prove that (4 - 5`sqrt(2)` ) is irrational.
Which one of the following statements is true?
Given universal set =
`{ -6, -5 3/4, -sqrt4, -3/5, -3/8, 0, 4/5, 1, 1 2/3, sqrt8, 3.01, π, 8.47 }`
From the given set, find: set of rational numbers
