Advertisements
Advertisements
Question
Rationalise the denominator of the following:
`(3 + sqrt(2))/(4sqrt(2))`
Advertisements
Solution
Let `E = (3 + sqrt(2))/(4sqrt(2))`
For rationalising the denominator, multiplying numerator and denominator by `sqrt(2)`,
`E = (3 + sqrt(2))/(4sqrt(2)) xx sqrt(2)/sqrt(2)`
= `(3sqrt(2) + (sqrt(2))^2)/(4(sqrt(2))^2`
= `(3sqrt(2) + 2)/(4 xx 2)`
= `(3sqrt(2) + 2)/8`
APPEARS IN
RELATED QUESTIONS
Simplify the following expressions:
`(4 + sqrt7)(3 + sqrt2)`
Express each one of the following with rational denominator:
`(b^2)/(sqrt(a^2 + b^2) + a)`
Find the values the following correct to three places of decimals, it being given that `sqrt2 = 1.4142`, `sqrt3 = 1.732`, `sqrt5 = 2.2360`, `sqrt6 = 2.4495` and `sqrt10 = 3.162`
`(1 + sqrt2)/(3 - 2sqrt2)`
Simplify: \[\frac{3\sqrt{2} - 2\sqrt{3}}{3\sqrt{2} + 2\sqrt{3}} + \frac{\sqrt{12}}{\sqrt{3} - \sqrt{2}}\]
If x= \[\sqrt{2} - 1\], then write the value of \[\frac{1}{x} . \]
\[\sqrt[5]{6} \times \sqrt[5]{6}\] is equal to
Classify the following number as rational or irrational:
`(2sqrt7)/(7sqrt7)`
Simplify the following:
`4sqrt(28) ÷ 3sqrt(7) ÷ root(3)(7)`
Rationalise the denominator of the following:
`sqrt(6)/(sqrt(2) + sqrt(3))`
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.
`sqrt(2)/(2 + sqrt(2)`
