Advertisements
Advertisements
प्रश्न
Rationalize the denominator.
`3 /sqrt5`
Advertisements
उत्तर
`3 /sqrt5`
`= 3 /sqrt5 xx sqrt 5 / sqrt 5`
`= (3sqrt5)/ (sqrt 5)^2`
`= (3sqrt 5)/5`
APPEARS IN
संबंधित प्रश्न
Rationalize the denominator.
`1/sqrt14`
Rationalize the denominator.
`6/(9sqrt 3)`
Write the simplest form of rationalising factor for the given surd.
`sqrt 50`
Write the simplest form of rationalising factor for the given surd.
`3 sqrt 72`
Write the simplest form of rationalising factor for the given surd.
`4 sqrt 11`
Write the lowest rationalising factor of : √13 + 3
Write the lowest rationalising factor of : 3√2 + 2√3
Find the values of 'a' and 'b' in each of the following:
`3/[ sqrt3 - sqrt2 ] = asqrt3 - bsqrt2`
If x =`[sqrt5 - 2 ]/[ sqrt5 + 2]` and y = `[ sqrt5 + 2]/[ sqrt5 - 2 ]`; find :
x2
If x =`[sqrt5 - 2 ]/[ sqrt5 + 2]` and y = `[ sqrt5 + 2]/[ sqrt5 - 2 ]`; find : xy
If x =`[sqrt5 - 2 ]/[ sqrt5 + 2]` and y = `[ sqrt5 + 2]/[ sqrt5 - 2]`; find:
x2 + y2 + xy.
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`
Evaluate: `( 4 - √5 )/( 4 + √5 ) + ( 4 + √5 )/( 4 - √5 )`
Rationalise the denominator and simplify `(5sqrt(3) + sqrt(2))/(sqrt(3) + sqrt(2))`
Find the value of a and b if `(sqrt(7) - 2)/(sqrt(7) + 2) = asqrt(7) + b`.
If x = `sqrt(5) + 2`, then find the value of `x^2 + 1/x^2`
Given `sqrt(2)` = 1.414, find the value of `(8 - 5sqrt(2))/(3 - 2sqrt(2))` (to 3 places of decimals).
