Advertisements
Advertisements
Question
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)`
Advertisements
Solution
Let `E = 6/sqrt(6)`
For rationalising the denominator, multiplying numerator and denominator by `sqrt(6)`, we get
`E = 6/sqrt(6) xx sqrt(6)/sqrt(6)`
= `(6sqrt(6))/6`
= `sqrt(2) xx sqrt(3)` ...`["Put" sqrt(2) = 1.414 "and" sqrt(3) = 1.732]`
= `1.414 xx 1.732`
= 2.449
APPEARS IN
RELATED QUESTIONS
Simplify the following expression:
`(sqrt5 - sqrt2)(sqrt5 + sqrt2)`
Express the following with rational denominator:
`(sqrt3 + 1)/(2sqrt2 - sqrt3)`
Express each one of the following with rational denominator:
`(b^2)/(sqrt(a^2 + b^2) + a)`
Simplify: \[\frac{3\sqrt{2} - 2\sqrt{3}}{3\sqrt{2} + 2\sqrt{3}} + \frac{\sqrt{12}}{\sqrt{3} - \sqrt{2}}\]
Simplify \[\sqrt{3 + 2\sqrt{2}}\].
Rationalise the denominator of the following:
`2/(3sqrt(3)`
Rationalise the denominator of the following:
`(4sqrt(3) + 5sqrt(2))/(sqrt(48) + sqrt(18))`
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`
Find the value of `4/((216)^(-2/3)) + 1/((256)^(- 3/4)) + 2/((243)^(- 1/5))`
