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प्रश्न
Simplify by rationalising the denominator in the following.
`(5)/(sqrt(7) - sqrt(2))`
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उत्तर
`(5)/(sqrt(7) - sqrt(2))`
= `(5)/(sqrt(7) - sqrt(2)) xx (sqrt(7) + sqrt(2))/(sqrt(7) + sqrt(2)`
= `(5(sqrt(7) + sqrt(2)))/((sqrt(7))^2 + (sqrt(2))^2)`
= `(5(sqrt(7) + sqrt(2)))/(7 - 2)`
= `(5(sqrt(7) + sqrt(2)))/(5)`
= `sqrt(7) + sqrt(2)`
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संबंधित प्रश्न
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`(sqrt(5) + sqrt(3))/(sqrt(5) - sqrt(3)) + (sqrt(5) - sqrt(3))/(sqrt(5) + sqrt(3)`
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`(7sqrt(3))/(sqrt(10) + sqrt(3)) - (2sqrt(5))/(sqrt(6) + sqrt(5)) - (3sqrt(2))/(sqrt(15) + 3sqrt(2)`
In the following, find the values of a and b:
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If x = `(4 - sqrt(15))`, find the values of
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