Question

rationalize the denominator
$\frac{2}{ \sqrt{3 - 1} }$
​

Answer 1

Answer:

The numerator contains a perfect square, so I can simplify this:

\sqrt{\dfrac{25}{3}\,} = \dfrac{\sqrt{25\,}}{\sqrt{3\,}}

3

25

=

3

25

= \dfrac{\sqrt{5\times 5\,}}{\sqrt{3\,}} = \dfrac{5}{\sqrt{3\,}}=

3

5×5

=

3

5

Answer 2

Answer:

2 / √3-1

= 2 / √3-1 × √3+1 /√3+1

= 2√3 + 2 / (√3) ² - (1) ²

= 2√3 + 2 / 2