Advertisements
Advertisements
प्रश्न
State whether the following number is rational or irrational
`(5 - sqrt(5))^2`
उत्तर
`(5 - sqrt(5))^2`
= `(5)^2 + (sqrt(5))^2 - 2 xx 5 xx sqrt(5)`
= 25 + 5 - 10`sqrt(5)`
= 30 - 10`sqrt(5)`, which is irrational
APPEARS IN
संबंधित प्रश्न
Prove that 3 + 2`sqrt5` is irrational.
Examine, whether the following number are rational or irrational:
`sqrt7`
Prove that (4 - 5`sqrt(2)` ) is irrational.
Write a pair of irrational numbers whose product is irrational.
Represent the number `sqrt(7)` on the number line.
A rational number between `sqrt(2)` and `sqrt(3)` is ______.
Let x and y be rational and irrational numbers, respectively. Is x + y necessarily an irrational number? Give an example in support of your answer.
Classify the following number as rational or irrational with justification:
10.124124...
Insert a rational number and an irrational number between the following:
2 and 3
Given that `sqrt(3)` is irrational, prove that `5 + 2sqrt(3)` is irrational.