Advertisements
Advertisements
Question
Write a pair of irrational numbers whose sum is irrational.
Solution
√3 + 5 and √5 - 3 are irrational numbers whose sum is irrational.
(√3 + 5) + (√5 - 3) = √3 + √5 + 5 - 3 = √3 + √5 + 2 which is irrational.
APPEARS IN
RELATED QUESTIONS
Classify the following number as rational or irrational:
`sqrt225`
Find a rational number and also an irrational number lying between the numbers 0.3030030003... and 0.3010010001...
Give an example of two irrationals whose product is rational.
Find the square of : √3 + √2
Insert five irrational numbers between `2sqrt5` and `3sqrt3`.
Write a pair of irrational numbers whose difference is irrational.
Insert five irrational number's between `2sqrt(3) and 3sqrt(5)`.
Which of the following is irrational?
Find whether the variable y represents a rational or an irrational number:
y2 = 9
Insert a rational number and an irrational number between the following:
`(-2)/5` and `1/2`