Step-by-step explanation
Problem to solve:
$\frac{2}{\sqrt{5}+\sqrt{3}}\cdot \frac{\sqrt{+5}-\sqrt{3}}{\sqrt{5}-\sqrt{3}}$
Learn how to solve multiplication of numbers problems step by step online.
$\frac{2}{\frac{5}{\sqrt{5}}+\sqrt{3}}\frac{\sqrt{+5}-1\cdot \sqrt{3}}{\sqrt{5}-1\cdot \sqrt{3}}$
Learn how to solve multiplication of numbers problems step by step online. Multiply 2/(5^0.5+3^0.5)(+5^0.5-3^0.5)/(5^0.5-3^0.5). The square root of 5 is \frac{5}{\sqrt{5}}. Calculate the power \sqrt{3}. Add the values \frac{5}{\sqrt{5}} and \frac{3}{\sqrt{3}}. Divide 2 by 3.9681.
Final Answer
$\sqrt{+5}-\frac{3}{\sqrt{3}}$