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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
Rationalise the denominators of : `(2sqrt3)/sqrt5`
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Simplify by rationalising the denominator in the following.
`(1)/(sqrt(3) + sqrt(2))`
Simplify by rationalising the denominator in the following.
`(2)/(3 + sqrt(7)`
Simplify by rationalising the denominator in the following.
`(5 + sqrt(6))/(5 - sqrt(6)`
Simplify by rationalising the denominator in the following.
`(sqrt(12) + sqrt(18))/(sqrt(75) - sqrt(50)`
If x = `(7 + 4sqrt(3))`, find the values of :
`(x + (1)/x)^2`
Evaluate, correct to one place of decimal, the expression `5/(sqrt20 - sqrt10)`, if `sqrt5` = 2.2 and `sqrt10` = 3.2.
If x = `sqrt3 - sqrt2`, find the value of:
(i) `x + 1/x`
(ii) `x^2 + 1/x^2`
(iii) `x^3 + 1/x^3`
(iv) `x^3 + 1/x^3 - 3(x^2 + 1/x^2) + x + 1/x`
Show that:
`(4 - sqrt5)/(4 + sqrt5) + 2/(5 + sqrt3) + (4 + sqrt5)/(4 - sqrt5) + 2/(5 - sqrt3) = 52/11`
