Write in simple radical form: (1 +(1)/(√(3) )) / (1 - (1)/(√(3) )) show steps.

Question

Write in simple radical form:

(1 +
`(1)/(√(3) )`) / (1 -
`(1)/(√(3) )`)
show steps.

Answer 1

The answer to your question is
`(2)/(3)`

Explanation:

Here, there is a difference of squares, so just solve it and simplify

`( 1 + (1)/(√(3) ) ) (1 - (1)/(√(3) ) )`

Multiply the binomials

= 1 -
`(1)/(3)`

Simplify

=
`(3 - 1)/(3)`

=
`(2)/(3)`