Advertisements
Advertisements
Question
Rationalize the denominator.
`5/sqrt 7`
Advertisements
Solution
`5/sqrt 7`
`= 5/sqrt 7 xx sqrt 7/ sqrt 7`
`= (5 sqrt 7)/(sqrt 7)^2 `
`= (5 sqrt 7)/7`
APPEARS IN
RELATED QUESTIONS
Rationalize the denominator.
`1/sqrt14`
Rationalize the denominator.
`6/(9sqrt 3)`
Write the simplest form of rationalising factor for the given surd.
`4 sqrt 11`
Write the lowest rationalising factor of : √24
Write the lowest rationalising factor of √5 - 3.
Write the lowest rationalising factor of 15 – 3√2.
Find the values of 'a' and 'b' in each of the following :
`[2 + sqrt3]/[ 2 - sqrt3 ] = a + bsqrt3`
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 + y2 + xy.
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 = 2√3 + 2√2, find: `(x + 1/x)`
If x = 2√3 + 2√2 , find : `( x + 1/x)^2`
If √2 = 1.4 and √3 = 1.7, find the value of : `1/(√3 - √2)`
Rationalise the denominator `5/(3sqrt(5))`
Rationalise the denominator and simplify `sqrt(5)/(sqrt(6) + 2) - sqrt(5)/(sqrt(6) - 2)`
Find the value of a and b if `(sqrt(7) - 2)/(sqrt(7) + 2) = asqrt(7) + b`.
Given `sqrt(2)` = 1.414, find the value of `(8 - 5sqrt(2))/(3 - 2sqrt(2))` (to 3 places of decimals).
