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प्रश्न
Classify the following numbers as rational or irrational:
`2-sqrt5`
उत्तर
`2-sqrt5`
2 is a rational number, and `sqrt5` is an irrational number.
Therefore, `2-sqrt5` is an irrational number.
∴ The difference of a rational number and an irrational number is irrational.
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संबंधित प्रश्न
Simplify the following expressions:
`(sqrt8 - sqrt2)(sqrt8 + sqrt2)`
Rationalise the denominator of each of the following
`3/sqrt5`
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`(sqrt3 + 1)/sqrt2`
Express the following with rational denominator:
`1/(3 + sqrt2)`
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`1/(2sqrt5 - sqrt3)`
In the following determine rational numbers a and b:
`(sqrt3 - 1)/(sqrt3 + 1) = a - bsqrt3`
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Rationalise the denominator of the following:
`1/(sqrt7-2)`
Rationalise the denominator of the following:
`sqrt(6)/(sqrt(2) + sqrt(3))`
Rationalise the denominator of the following:
`(sqrt(3) + sqrt(2))/(sqrt(3) - sqrt(2))`
