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प्रश्न
Simplify by rationalising the denominator in the following.
`(sqrt(5) - sqrt(7))/sqrt(3)`
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उत्तर
`(sqrt(5) - sqrt(7))/sqrt(3)`
= `(sqrt(5) - sqrt(7))/sqrt(3) xx sqrt(3)/sqrt(3)`
= `(sqrt(5) xx sqrt(3) - sqrt(7) xx sqrt(3))/(sqrt(3))^2`
= `(sqrt(15) - sqrt(21))/(3)`
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संबंधित प्रश्न
Rationalize the denominator.
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`(3sqrt(2))/sqrt(5)`
Simplify by rationalising the denominator in the following.
`(5sqrt(3) - sqrt(15))/(5sqrt(3) + sqrt(15)`
Simplify the following
`(3)/(5 - sqrt(3)) + (2)/(5 + sqrt(3)`
In the following, find the values of a and b:
`(1)/(sqrt(5) - sqrt(3)) = "a"sqrt(5) - "b"sqrt(3)`
If x = `(4 - sqrt(15))`, find the values of
`x + (1)/x`
If x = `((2 + sqrt(5)))/((2 - sqrt(5))` and y = `((2 - sqrt(5)))/((2 + sqrt(5))`, show that (x2 - y2) = `144sqrt(5)`.
Simplify:
`(sqrt(x^2 + y^2) - y)/(x - sqrt(x^2 - y^2)) ÷ (sqrt(x^2 - y^2) + x)/(sqrt(x^2 + y^2) + y)`
