Simplify 2/(√5+√3)+1/(√3+√2)-3/(√5+√2)
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:
\[ \frac{2}{\sqrt{5} + \sqrt{3}} + \frac{1}{\sqrt{3} + \sqrt{2}} - \frac{3}{\sqrt{5} + \sqrt{2}} = 0 \]
asked 10 months ago
active 10 months ago