Advertisements
Advertisements
Question
Rationalise the denominator of the following:
`2/(3sqrt(3)`
Solution
Let `E = 2/(3sqrt(3))`
For rationalising the denominator, multiplying numerator and denominator by `sqrt(3)`,
`E = 2/(3sqrt(3)) xx sqrt(3)/sqrt(3)`
= `(2sqrt(3))/(3 xx 3)`
= `(2sqrt(3))/9`
APPEARS IN
RELATED QUESTIONS
Simplify the following expressions:
`(sqrt3 + sqrt7)^2`
Rationalise the denominator of the following
`(sqrt3 + 1)/sqrt2`
Rationalise the denominator of the following
`(3sqrt2)/sqrt5`
Express the following with rational denominator:
`(3sqrt2 + 1)/(2sqrt5 - 3)`
Rationales the denominator and simplify:
`(3 - sqrt2)/(3 + sqrt2)`
In the following determine rational numbers a and b:
`(3 + sqrt2)/(3 - sqrt2) = a + bsqrt2`
In the following determine rational numbers a and b:
`(5 + 3sqrt3)/(7 + 4sqrt3) = a + bsqrt3`
In the following determine rational numbers a and b:
`(4 + 3sqrt5)/(4 - 3sqrt5) = a + bsqrt5`
if `x = (sqrt3 + 1)/2` find the value of `4x^2 +2x^2 - 8x + 7`
Simplify:
`64^(-1/3)[64^(1/3) - 64^(2/3)]`
