Advertisements
Advertisements
Question
State, whether the following numbers is rational or not : ( 3 - √3 )2
Solution
( 3 - √3 )2 = 32 - 2 ( 3 ) ( √3 ) + ( √3 )2
= 9 - 6√3 + 3
= 12 - 6√3 = 6 ( 2 - √3 )
Irrational number.
APPEARS IN
RELATED QUESTIONS
Given that `sqrt2` is irrational prove that `(5 + 3sqrt2)` is an irrational number
Give an example of two irrational numbers whose:
difference is a rational number.
An irrational number between 2 and 2.5 is
Write a pair of irrational numbers whose product is irrational.
Check whether the square of the following is rational or irrational:
`3 + sqrt(2)`
Write the following in descending order:
`sqrt(6), root(3)(8) and root(4)(3)`
Insert two irrational numbers between 3 and 4.
The sum of two irrational numbers is always ______.
Which of the following is irrational?
Classify the following number as rational or irrational with justification:
10.124124...
