Advertisements
Advertisements
Question
Classify the following number as rational or irrational:
`1/sqrt2`
Advertisements
Solution
`1/sqrt2`
1(≠0) is a rational and `sqrt2` is an irrational number.
Therefore, `1/sqrt2` is an irrational number.
∴ The quotient of rational and irrational numbers is an irrational number.
APPEARS IN
RELATED QUESTIONS
Simplify of the following:
`root(4)1250/root(4)2`
Rationalise the denominator of the following
`(sqrt3 + 1)/sqrt2`
Rationalise the denominator of the following
`(3sqrt2)/sqrt5`
Express of the following with rational denominator:
`1/(sqrt6 - sqrt5)`
In the following determine rational numbers a and b:
`(sqrt11 - sqrt7)/(sqrt11 + sqrt7) = a - bsqrt77`
If \[x = 2 + \sqrt{3}\] , find the value of \[x + \frac{1}{x}\].
If \[x = 3 + 2\sqrt{2}\],then find the value of \[\sqrt{x} - \frac{1}{\sqrt{x}}\].
Rationalise the denominator of the following:
`1/(sqrt5+sqrt2)`
`1/(sqrt(9) - sqrt(8))` is equal to ______.
Simplify the following:
`(sqrt(3) - sqrt(2))^2`
