Final answer to the problem
$\frac{5\left(3+\sqrt{5}\right)}{4}$
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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 5/(3-*5^(1/2)). Multiply and divide the fraction \frac{5}{3-\sqrt{5}} by the conjugate of it's denominator 3-\sqrt{5}. Multiplying fractions \frac{5}{3-\sqrt{5}} \times \frac{3+\sqrt{5}}{3+\sqrt{5}}. Solve the product of difference of squares \left(3-\sqrt{5}\right)\left(3+\sqrt{5}\right). Add the values 9 and -5.
Final answer to the problem
$\frac{5\left(3+\sqrt{5}\right)}{4}$
Exact Numeric Answer
$6.545085$
