Evaluate ( square root of 3- square root of 2)/(( square root of 5-1)^2)*(( square root of 5-1)^2)/( square root of 3- square root of 2)

$\frac{\sqrt{3} - \sqrt{2}}{{(\sqrt{5} - 1)}^{2}} \cdot \frac{{(\sqrt{5} - 1)}^{2}}{\sqrt{3} - \sqrt{2}}$

Cancel the common factor of $\sqrt{3} - \sqrt{2}$ .

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Cancel the common factor.

$\frac{\sqrt{3} - \sqrt{2}}{{(\sqrt{5} - 1)}^{2}} \cdot \frac{{(\sqrt{5} - 1)}^{2}}{\sqrt{3} - \sqrt{2}}$

Rewrite the expression.

$\frac{1}{{(\sqrt{5} - 1)}^{2}} \cdot {(\sqrt{5} - 1)}^{2}$

Cancel the common factor of ${(\sqrt{5} - 1)}^{2}$ .

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Cancel the common factor.

$\frac{1}{{(\sqrt{5} - 1)}^{2}} \cdot {(\sqrt{5} - 1)}^{2}$

Rewrite the expression.

$1$

Evaluate ( square root of 3- square root of 2)/(( square root of 5-1)^2)*(( square root of 5-1)^2)/( square root of 3- square root of 2)