Simplify 2/(√5+√3)+1/(√3+√2)-3/(√5+√2)

asked by guest
on Jun 03, 2023 at 12:02 am

You asked:

Simplify the expression: \(\frac{2}{\sqrt{5} + \sqrt{3}} + \frac{1}{\sqrt{3} + \sqrt{2}} - \frac{3}{\sqrt{5} + \sqrt{2}}\)

MathBot Answer:

Simplified:

\[ \frac{2}{\sqrt{5} + \sqrt{3}} + \frac{1}{\sqrt{3} + \sqrt{2}} - \frac{3}{\sqrt{5} + \sqrt{2}} = 0 \]


Expanded:

\[ \frac{2}{\sqrt{5} + \sqrt{3}} + \frac{1}{\sqrt{3} + \sqrt{2}} - \frac{3}{\sqrt{5} + \sqrt{2}} = - \frac{3}{\sqrt{2} + \sqrt{5}} + \frac{1}{\sqrt{2} + \sqrt{3}} + \frac{2}{\sqrt{3} + \sqrt{5}} \]


Factored:

\[ \frac{2}{\sqrt{5} + \sqrt{3}} + \frac{1}{\sqrt{3} + \sqrt{2}} - \frac{3}{\sqrt{5} + \sqrt{2}} = 0 \]

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