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प्रश्न
Simplify by rationalising the denominator in the following.
`(1)/(5 + sqrt(2))`
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उत्तर
`(1)/(5 + sqrt(2))`
= `(1)/(5 + sqrt(2)) xx (5 - sqrt(2))/(5 - sqrt(2)`
= `(5 - sqrt(2))/((5)^2 - (sqrt(2))^2)`
= `(5 - sqrt(2))/(25 - 2)`
= `(5 - sqrt(2))/(23)`
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संबंधित प्रश्न
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In the following, find the values of a and b:
`(7sqrt(3) - 5sqrt(2))/(4sqrt(3) + 3sqrt(2)) = "a" - "b"sqrt(6)`
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`(x + (1)/x)^2`
If x = `sqrt3 - sqrt2`, find the value of:
(i) `x + 1/x`
(ii) `x^2 + 1/x^2`
(iii) `x^3 + 1/x^3`
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