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प्रश्न
Rationalize the denominator.
`1/(sqrt 7 + sqrt 2)`
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उत्तर
`1/(sqrt 7 + sqrt 2)`
`= 1/(sqrt 7 + sqrt 2) xx (sqrt 7 - sqrt 2)/(sqrt 7 - sqrt 2)`
`= (sqrt 7 - sqrt 2)/((sqrt 7)^2 - (sqrt 2)^2)` ....`[(a + b)(a - b) = a^2- b^2]`
`= (sqrt 7 - sqrt 2)/(7-2)`
`= (sqrt 7 - sqrt 2)/5`
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संबंधित प्रश्न
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`(sqrt(11) - sqrt(7))/(sqrt(11) + sqrt(7)) = "a" - "b"sqrt(77)`
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If x = `(7 + 4sqrt(3))`, find the value of
`x^2 + (1)/x^2`
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If x = `(4 - sqrt(15))`, find the values of
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x3 + y3
Simplify:
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