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
Classify the following numbers as rational or irrational:
`2-sqrt5`
Simplify the following expressions:
`(2sqrt5 + 3sqrt2)^2`
Rationalise the denominator of the following
`(sqrt3 + 1)/sqrt2`
Express the following with rational denominator:
`30/(5sqrt3 - 3sqrt5)`
Rationales the denominator and simplify:
`(4sqrt3 + 5sqrt2)/(sqrt48 + sqrt18)`
Find the value of `6/(sqrt5 - sqrt3)` it being given that `sqrt3 = 1.732` and `sqrt5 = 2.236`
Write the reciprocal of \[5 + \sqrt{2}\].
If \[a = \sqrt{2} + 1\],then find the value of \[a - \frac{1}{a}\].
Rationalise the denominator of the following:
`16/(sqrt(41) - 5)`
Rationalise the denominator of the following:
`(3sqrt(5) + sqrt(3))/(sqrt(5) - sqrt(3))`
