Question

$\frac{22}{2 \sqrt{3} + 1 } + \frac{17}{2 \sqrt{3} - 1 }$
simplyfy​

Answer 1

Simplify: \mathbf{\color{green}{\sqrt{\dfrac{25}{3}\,}}}

3

25

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

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