Advertisements
Advertisements
प्रश्न
Check whether the square of the following is rational or irrational:
`sqrt(2) + sqrt(3)`
उत्तर
`(sqrt(2) + sqrt(3))^2`
= `(sqrt(2))^2 + (sqrt(3))^2 + 2 xx sqrt(2) xx sqrt(3)`
= 2 + 3 + 2`sqrt(6)`
= 5 + 2`sqrt(6)`, which is irrational
APPEARS IN
संबंधित प्रश्न
Examine, whether the following number are rational or irrational:
`(2-sqrt2)(2+sqrt2)`
Prove that of the numbers `3 + sqrt (2)` is irrational:
Which one of the following statements is true?
An irrational number between 2 and 2.5 is
State whether the following statement is true or false. Justify your answer.
Every point on the number line is of the form `sqrt m`, where m is a natural number.
Find the square of : √5 - 2
Prove that `(2+sqrt3)/5` is an irrational number, given that `sqrt 3` is an irrational number.
Write the following in descending order:
`sqrt(2), root(3)(5) and root(4)(10)`
Represent the number `sqrt(7)` on the number line.
Insert a rational number and an irrational number between the following:
0 and 0.1
