Question

In need of help on Alg 2

Answer 1

`(20)/(13)` +
`(5)/(13)`
`√(3)`

Explanation:

Given

`(5)/(4-√(3) )`

To rationalise the denominator, multiply the numerator/ denominator by the conjugate of the denominator.

The conjugate of 4 -
`√(3)` is 4 +
`√(3)`

=
`(5(4+√(3)) )/((4-√(3))(4+√(3)) )`

=
`(20+5√(3) )/(16-3)`

=
`(20+5√(3) )/(13)`

=
`(20)/(13)` +
`(5)/(13)`
`√(3)`