Advertisements
Advertisements
प्रश्न
Rationalize the denominator.
`1/sqrt14`
Advertisements
उत्तर
`1/sqrt14`
`=1/sqrt 14 xx sqrt 14 / sqrt14`
`= sqrt 14 / (sqrt 14)^2`
`= sqrt 14 / 14`
APPEARS IN
संबंधित प्रश्न
Write the simplest form of rationalising factor for the given surd.
`sqrt 27`
Write the lowest rationalising factor of : √24
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 :
`[2 + sqrt3]/[ 2 - sqrt3 ] = a + bsqrt3`
If m = `1/[ 3 - 2sqrt2 ] and n = 1/[ 3 + 2sqrt2 ],` find n2
If m = `1/[ 3 - 2sqrt2 ] and n = 1/[ 3 + 2sqrt2 ],` find mn
If x = `2sqrt3 + 2sqrt2`, find: `1/x`
If x = 1 - √2, find the value of `( x - 1/x )^3`
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.
If √2 = 1.4 and √3 = 1.7, find the value of : `1/(√3 - √2)`
Rationalise the denominator `1/sqrt(50)`
Rationalise the denominator `5/(3sqrt(5))`
Rationalise the denominator and simplify `(5sqrt(3) + sqrt(2))/(sqrt(3) + sqrt(2))`
Rationalise the denominator and simplify `sqrt(5)/(sqrt(6) + 2) - sqrt(5)/(sqrt(6) - 2)`
Given `sqrt(2)` = 1.414, find the value of `(8 - 5sqrt(2))/(3 - 2sqrt(2))` (to 3 places of decimals).
