Advertisements
Advertisements
Question
Rationalise the denominator of the following:
`2/(3sqrt(3)`
Advertisements
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`
Simplify `(7 + 3sqrt5)/(3 + sqrt5) - (7 - 3sqrt5)/(3 - sqrt5)`
Simplify: \[\frac{3\sqrt{2} - 2\sqrt{3}}{3\sqrt{2} + 2\sqrt{3}} + \frac{\sqrt{12}}{\sqrt{3} - \sqrt{2}}\]
The rationalisation factor of \[2 + \sqrt{3}\] is
`root(4)root(3)(2^2)` equals to ______.
Simplify the following:
`sqrt(45) - 3sqrt(20) + 4sqrt(5)`
Rationalise the denominator in the following and hence evaluate by taking `sqrt(2) = 1.414, sqrt(3) = 1.732` and `sqrt(5) = 2.236`, upto three places of decimal.
`6/sqrt(6)`
Rationalise the denominator in the following and hence evaluate by taking `sqrt(2) = 1.414, sqrt(3) = 1.732` and `sqrt(5) = 2.236`, upto three places of decimal.
`1/(sqrt(3) + sqrt(2))`
Simplify:
`[((625)^(-1/2))^((-1)/4)]^2`
If `a = (3 + sqrt(5))/2`, then find the value of `a^2 + 1/a^2`.
