Final answer to the problem
$\frac{\sqrt{5}+1}{1}$
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Step-by-step Solution
Specify the solving method
1
Multiply and divide the fraction $\frac{4}{\sqrt{5}-1}$ by the conjugate of it's denominator $\sqrt{5}-1$
$\frac{4}{\sqrt{5}-1}\cdot \frac{\sqrt{5}+1}{\sqrt{5}+1}$
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$\frac{4}{\sqrt{5}-1}\cdot \frac{\sqrt{5}+1}{\sqrt{5}+1}$
Learn how to solve rationalisation problems step by step online. Rationalize and simplify the expression 4/(5^1/2-1). Multiply and divide the fraction \frac{4}{\sqrt{5}-1} by the conjugate of it's denominator \sqrt{5}-1. Multiplying fractions \frac{4}{\sqrt{5}-1} \times \frac{\sqrt{5}+1}{\sqrt{5}+1}. Solve the product of difference of squares \left(\sqrt{5}-1\right)\cdot \left(\sqrt{5}+1\right). Cancel the fraction's common factor 4.
Final answer to the problem
$\frac{\sqrt{5}+1}{1}$
Exact Numeric Answer
$3.236068$