Advertisements
Advertisements
Question
Simplify the following
`(4 + sqrt(5))/(4 - sqrt(5)) + (4 - sqrt(5))/(4 + sqrt(5)`
Advertisements
Solution
`(4 + sqrt(5))/(4 - sqrt(5)) + (4 - sqrt(5))/(4 + sqrt(5)`
= `((4 + sqrt(5))^2 + (4 - sqrt(5))^2)/((4 - sqrt(5))(4 + sqrt(5))`
= `(16 + 5 + 8sqrt(5) + 16 + 5 - 8sqrt(5))/(16 - 5)`
= `(42)/(11)`
APPEARS IN
RELATED QUESTIONS
Rationalize the denominator.
`1/sqrt5`
Rationalize the denominator.
`2/(3 sqrt 7)`
Rationalize the denominator.
`12/(4sqrt3 - sqrt 2)`
Rationalise the denominators of : `(2sqrt3)/sqrt5`
Rationalise the denominators of : `1/(sqrt3 - sqrt2 )`
Rationalise the denominators of : `[ 2 - √3 ]/[ 2 + √3 ]`
Simplify:
`sqrt2/[sqrt6 - sqrt2] - sqrt3/[sqrt6 + sqrt2]`
Simplify by rationalising the denominator in the following.
`(2)/(3 + sqrt(7)`
Simplify by rationalising the denominator in the following.
`(sqrt(7) - sqrt(5))/(sqrt(7) + sqrt(5)`
Draw a line segment of length `sqrt3` cm.
