Advertisements
Advertisements
Question
Write the simplest form of rationalising factor for the given surd.
`sqrt 32`
Advertisements
Solution
Since , `sqrt 32 = sqrt(16 xx 2) = 4 sqrt 2`
∴ `4sqrt2 xx sqrt2 = 4 xx 2 = 8` is a rational number.
So, `sqrt 2` is the simplest form of rationalising factor.
APPEARS IN
RELATED QUESTIONS
Rationalize the denominator.
`3 /sqrt5`
Rationalize the denominator.
`6/(9sqrt 3)`
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 : √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 : y2
If m = `1/[ 3 - 2sqrt2 ] and n = 1/[ 3 + 2sqrt2 ],` find m2
If m = `1/[ 3 - 2sqrt2 ] and n = 1/[ 3 + 2sqrt2 ],` find mn
If x = 5 - 2√6, find `x^2 + 1/x^2`
If √2 = 1.4 and √3 = 1.7, find the value of : `1/(3 + 2√2)`
Rationalise the denominator `sqrt(75)/sqrt(18)`
Rationalise the denominator and simplify `(2sqrt(6) - sqrt(5))/(3sqrt(5) - 2sqrt(6))`
