Advertisements
Advertisements
Question
Rationalise the denominator of the following:
`sqrt(40)/sqrt(3)`
Advertisements
Solution
Let `E = sqrt(40)/sqrt(3)`
For rationalising the denominator, multiplying numerator and denominator by `sqrt(3)`,
`E = sqrt(40)/sqrt(3) xx sqrt(3)/sqrt(3)`
= `sqrt(40 xx 3)/(sqrt(3))^2`
= `sqrt(120)/3`
= `sqrt(2 xx 2 xx 2 xx 5 xx 3)/3`
= `2/3 sqrt(30)`
APPEARS IN
RELATED QUESTIONS
Rationalise the denominator of the following
`(sqrt2 + sqrt5)/3`
Express the following with rational denominator:
`1/(2sqrt5 - sqrt3)`
Rationales the denominator and simplify:
`(4sqrt3 + 5sqrt2)/(sqrt48 + sqrt18)`
In the following determine rational numbers a and b:
`(4 + sqrt2)/(2 + sqrt2) = n - sqrtb`
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)`
If\[\frac{\sqrt{3} - 1}{\sqrt{3} + 1} = x + y\sqrt{3},\] find the values of x and y.
Classify the following number as rational or irrational:
`1/sqrt2`
Simplify the following:
`sqrt(45) - 3sqrt(20) + 4sqrt(5)`
Simplify the following:
`4sqrt12 xx 7sqrt6`
Simplify:
`(256)^(-(4^((-3)/2))`
