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प्रश्न
Simplify by rationalising the denominator in the following.
`(2sqrt(6) - sqrt(5))/(3sqrt(5) - 2sqrt(6)`
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उत्तर
`(2sqrt(6) - sqrt(5))/(3sqrt(5) - 2sqrt(6)`
= `(2sqrt(6) - sqrt(5))/(3sqrt(5) - 2sqrt(6)) xx (3sqrt(5) + 2sqrt(6))/(3sqrt(5) + 2sqrt(6)`
= `(6sqrt(30) + 24 - 15 - 2sqrt(30))/((3sqrt(5))^2 - (2sqrt(6))^2`
= `(6sqrt(30) + 9 - 2sqrt(30))/(45 - 24)`
= `(4sqrt(30) + 9)/(21)`
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संबंधित प्रश्न
Rationalize the denominator.
`(sqrt 5 - sqrt 3)/(sqrt 5 + sqrt 3)`
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`[sqrt6 - sqrt5]/[sqrt6 + sqrt5]`
Simplify by rationalising the denominator in the following.
`(5 + sqrt(6))/(5 - sqrt(6)`
Simplify by rationalising the denominator in the following.
`(5sqrt(3) - sqrt(15))/(5sqrt(3) + sqrt(15)`
Simplify by rationalising the denominator in the following.
`(7sqrt(3) - 5sqrt(2))/(sqrt(48) + sqrt(18)`
Simplify the following :
`sqrt(6)/(sqrt(2) + sqrt(3)) + (3sqrt(2))/(sqrt(6) + sqrt(3)) - (4sqrt(3))/(sqrt(6) + sqrt(2)`
Simplify the following :
`(4sqrt(3))/((2 - sqrt(2))) - (30)/((4sqrt(3) - 3sqrt(2))) - (3sqrt(2))/((3 + 2sqrt(3))`
In the following, find the value of a and b:
`(7 + sqrt(5))/(7 - sqrt(5)) - (7 - sqrt(5))/(7 + sqrt(5)) = "a" + "b"sqrt(5)`
Show that Negative of an irrational number is irrational.
Show that: `(3sqrt2 - 2sqrt3)/(3sqrt2 + 2sqrt3) + (2 sqrt3)/(sqrt3 - sqrt2) = 11`
