Advertisements
Advertisements
Question
Check whether the square of the following is rational or irrational:
`sqrt(2) + sqrt(3)`
Sum
Advertisements
Solution
`(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
shaalaa.com
Is there an error in this question or solution?
