Final answer to the problem
$\frac{3\left(5-\sqrt{3}\right)}{22}$
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Step-by-step Solution
Learn how to solve factor by difference of squares problems step by step online. Rationalize and simplify the expression 3/(5+3^(1/2)). Multiply and divide the fraction \frac{3}{5+\sqrt{3}} by the conjugate of it's denominator 5+\sqrt{3}. Multiplying fractions \frac{3}{5+\sqrt{3}} \times \frac{5-\sqrt{3}}{5-\sqrt{3}}. Solve the product of difference of squares \left(5+\sqrt{3}\right)\left(5-\sqrt{3}\right). Add the values 25 and -3.
Final answer to the problem
$\frac{3\left(5-\sqrt{3}\right)}{22}$
Exact Numeric Answer
$0.445629$
