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प्रश्न
Rationalize the denominator.
`1/(sqrt 3 - sqrt 2)`
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उत्तर
`1/(sqrt 3 - sqrt 2)`
`= 1/(sqrt 3 - sqrt 2) xx ((sqrt3+ sqrt 2))/((sqrt3+ sqrt2))`
`= ((sqrt 3 + sqrt 2))/((sqrt 3)^2 - (sqrt 2)^2) ...[(a+b)(a-b) = a^2 - b^2]`
`= ((sqrt 3 + sqrt 2))/(3 - 2)`
`= sqrt 3 + sqrt 2`
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संबंधित प्रश्न
Rationalize the denominator.
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Rationalise the denominators of : `[ sqrt3 - sqrt2 ]/[ sqrt3 + sqrt2 ]`
Rationalise the denominator of `1/[ √3 - √2 + 1]`
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Simplify by rationalising the denominator in the following.
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Simplify the following
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In the following, find the values of a and b:
`(sqrt(3) - 2)/(sqrt(3) + 2) = "a"sqrt(3) + "b"`
If x = `(7 + 4sqrt(3))`, find the value of
`x^2 + (1)/x^2`
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)`
Draw a line segment of length `sqrt8` cm.
Show that:
`(4 - sqrt5)/(4 + sqrt5) + 2/(5 + sqrt3) + (4 + sqrt5)/(4 - sqrt5) + 2/(5 - sqrt3) = 52/11`
