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प्रश्न
Classify the following number as rational or irrational:
2π
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उत्तर
2π
2 is a rational number and π is an irrational number.
∵ 2π = 2 × π = Product of a rational and an irrational number is an irrational number.
∴ 2π is an irrational number.
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संबंधित प्रश्न
Simplify the following expressions:
`(sqrt5 - sqrt3)^2`
Rationalise the denominator of the following:
`3/(2sqrt5)`
Rationalise the denominator of the following
`sqrt2/sqrt5`
Rationalise the denominator of the following
`(sqrt3 + 1)/sqrt2`
Express the following with rational denominator:
`(3sqrt2 + 1)/(2sqrt5 - 3)`
Rationales the denominator and simplify:
`(4sqrt3 + 5sqrt2)/(sqrt48 + sqrt18)`
The rationalisation factor of \[\sqrt{3}\] is
Rationalise the denominator in the following and hence evaluate by taking `sqrt(2) = 1.414, sqrt(3) = 1.732` and `sqrt(5) = 2.236`, upto three places of decimal.
`(sqrt(10) - sqrt(5))/2`
Simplify:
`(7sqrt(3))/(sqrt(10) + sqrt(3)) - (2sqrt(5))/(sqrt(6) + sqrt(5)) - (3sqrt(2))/(sqrt(15) + 3sqrt(2))`
Simplify:
`(256)^(-(4^((-3)/2))`
