Advertisements
Advertisements
प्रश्न
Examine, whether the following number are rational or irrational:
`(2-sqrt2)(2+sqrt2)`
उत्तर
Let `x=(2-sqrt2)(2+sqrt2)`
`rArrx=(2)^2-(sqrt2)^2` {As (a + b)(a - b) = a2 - b2}
⇒ x = 4 - 2
⇒ x = 2
So `(2-sqrt2)(2+sqrt2)` is a rational number
APPEARS IN
संबंधित प्रश्न
Find three different irrational numbers between the rational numbers `5/7` and `9/11.`
Examine, whether the following number are rational or irrational:
`sqrt7`
Examine, whether the following number are rational or irrational:
`2+sqrt3`
Give an example of two irrationals whose sum is rational.
Which of the following is irrational?
Between two rational numbers ______.
The product `root(3)(2) * root(4)(2) * root(12)(32)` equals to ______.
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:
`sqrt(196)`
Insert a rational number and an irrational number between the following:
2 and 3
