Advertisements
Advertisements
Question
Simplify the following:
`3sqrt(3) + 2sqrt(27) + 7/sqrt(3)`
Advertisements
Solution
`3sqrt(3) + 2sqrt(27) + 7/sqrt(3) = 3sqrt(3) + 2sqrt(3 xx 3 xx 3) + 7/sqrt(3) xx sqrt(3)/sqrt(3)`
= `3sqrt(3) + 6sqrt(3) + (7sqrt(3))/3`
= `9sqrt(3) + (7sqrt(3))/3`
= `(27sqrt(3) + 7sqrt(3))/3`
= `(34sqrt(3))/3`
APPEARS IN
RELATED QUESTIONS
Simplify the following expressions:
`(5 + sqrt7)(5 - sqrt7)`
Simplify the following expressions:
`(sqrt3 + sqrt7)^2`
Rationalise the denominator of each of the following
`3/sqrt5`
In the following determine rational numbers a and b:
`(5 + 3sqrt3)/(7 + 4sqrt3) = a + bsqrt3`
In the following determine rational numbers a and b:
`(sqrt11 - sqrt7)/(sqrt11 + sqrt7) = a - bsqrt77`
If x= \[\sqrt{2} - 1\], then write the value of \[\frac{1}{x} . \]
If \[a = \sqrt{2} + 1\],then find the value of \[a - \frac{1}{a}\].
Rationalise the denominator of the following:
`1/(sqrt7-2)`
After rationalising the denominator of `7/(3sqrt(3) - 2sqrt(2))`, we get the denominator as ______.
Rationalise the denominator of the following:
`sqrt(40)/sqrt(3)`
