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प्रश्न
Classify the following number as rational or irrational:
`(3+sqrt23)-sqrt23`
उत्तर
`(3+sqrt23)-sqrt23
= 3 + sqrt23 - sqrt23`
= 3
which is a rational number.
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संबंधित प्रश्न
Rationalise the denominator of the following
`(sqrt2 + sqrt5)/3`
Find the value to three places of decimals of the following. It is given that
`sqrt2 = 1.414`, `sqrt3 = 1.732`, `sqrt5 = 2.236` and `sqrt10 = 3.162`
`(2 + sqrt3)/3`
Rationales the denominator and simplify:
`(3 - sqrt2)/(3 + sqrt2)`
Simplify \[\sqrt{3 + 2\sqrt{2}}\].
\[\sqrt{10} \times \sqrt{15}\] is equal to
Rationalise the denominator of the following:
`(3 + sqrt(2))/(4sqrt(2))`
Rationalise the denominator of the following:
`(2 + sqrt(3))/(2 - sqrt(3))`
Rationalise the denominator of the following:
`sqrt(6)/(sqrt(2) + sqrt(3))`
Find the value of a and b in the following:
`(5 + 2sqrt(3))/(7 + 4sqrt(3)) = a - 6sqrt(3)`
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`
