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प्रश्न
Rationalise the denominator `5/(3sqrt(5))`
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उत्तर
`5/(3sqrt(5)) = 5/(3sqrt(5)) xx sqrt(5)/sqrt(5)`
= `(5sqrt(5))/(3 xx 5)`
= `sqrt(5)/3`
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संबंधित प्रश्न
Write the simplest form of rationalising factor for the given surd.
`sqrt 27`
Write the lowest rationalising factor of √5 - 3.
Write the lowest rationalising factor of : 3√2 + 2√3
Find the values of 'a' and 'b' in each of the following:
`[5 + 3sqrt2]/[ 5 - 3sqrt2] = a + bsqrt2`
If m = `1/[ 3 - 2sqrt2 ] and n = 1/[ 3 + 2sqrt2 ],` find n2
If x = `2sqrt3 + 2sqrt2`, find: `1/x`
If x = 2√3 + 2√2 , find : `( x + 1/x)^2`
Show that :
`1/[ 3 - 2√2] - 1/[ 2√2 - √7 ] + 1/[ √7 - √6 ] - 1/[ √6 - √5 ] + 1/[√5 - 2] = 5`
If `[ 2 + sqrt5 ]/[ 2 - sqrt5] = x and [2 - sqrt5 ]/[ 2 + sqrt5] = y`; find the value of x2 - y2.
Rationalise the denominator and simplify `(sqrt(48) + sqrt(32))/(sqrt(27) - sqrt(18))`
