Advertisements
Advertisements
Question
Rationalize the denominator.
`3 /sqrt5`
Advertisements
Solution
`3 /sqrt5`
`= 3 /sqrt5 xx sqrt 5 / sqrt 5`
`= (3sqrt5)/ (sqrt 5)^2`
`= (3sqrt 5)/5`
APPEARS IN
RELATED QUESTIONS
Rationalize the denominator.
`1/sqrt14`
Write the simplest form of rationalising factor for the given surd.
`sqrt 32`
Write the simplest form of rationalising factor for the given surd.
`sqrt 50`
Write the simplest form of rationalising factor for the given surd.
`sqrt 27`
Write the simplest form of rationalising factor for the given surd.
`3 sqrt 72`
Write the lowest rationalising factor of 5√2.
Write the lowest rationalising factor of √5 - 3.
Write the lowest rationalising factor of : √13 + 3
Find the values of 'a' and 'b' in each of the following:
`( sqrt7 - 2 )/( sqrt7 + 2 ) = asqrt7 + b`
Find the values of 'a' and 'b' in each of the following:
`3/[ sqrt3 - sqrt2 ] = asqrt3 - bsqrt2`
Find the values of 'a' and 'b' in each of the following:
`[5 + 3sqrt2]/[ 5 - 3sqrt2] = a + bsqrt2`
If x =`[sqrt5 - 2 ]/[ sqrt5 + 2]` and y = `[ sqrt5 + 2]/[ sqrt5 - 2]`; find:
x2 + y2 + xy.
If x = 5 - 2√6, find `x^2 + 1/x^2`
Evaluate: `( 4 - √5 )/( 4 + √5 ) + ( 4 + √5 )/( 4 - √5 )`
If √2 = 1.4 and √3 = 1.7, find the value of : `1/(3 + 2√2)`
Rationalise the denominator `1/sqrt(50)`
Rationalise the denominator `sqrt(75)/sqrt(18)`
Rationalise the denominator `(3sqrt(5))/sqrt(6)`
