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प्रश्न
Simplify by rationalising the denominator in the following.
`(sqrt(7) - sqrt(5))/(sqrt(7) + sqrt(5)`
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उत्तर
`(sqrt(7) - sqrt(5))/(sqrt(7) + sqrt(5)`
= `(sqrt(7) - sqrt(5))/(sqrt(7) + sqrt(5)) xx (sqrt(7) - sqrt(5))/(sqrt(7) - sqrt(5)`
= `(sqrt(7) - sqrt(5))^2/((sqrt(7))^2 - (sqrt(5))^2`
= `(7 + 5 - 2sqrt(35))/(7 - 5)`
= `(12 - 2sqrt(35))/(2)`
= 6 - `sqrt(35)`
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संबंधित प्रश्न
Rationalise the denominators of : `[ √3 + 1 ]/[ √3 - 1 ]`
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In the following, find the values of a and b:
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If x = `(7 + 4sqrt(3))`, find the value of
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Show that: `x^2 + 1/x^2 = 34,` if x = 3 + `2sqrt2`
