Trigonometry Examples

$\frac{7 + \sqrt{5}}{\sqrt{5 - 1}}$

Step 1

Subtract $1$ from $5$ .

$\frac{7 + \sqrt{5}}{\sqrt{4}}$

Step 2

Rewrite $4$ as $2^{2}$ .

$\frac{7 + \sqrt{5}}{\sqrt{2^{2}}}$

Step 3

Pull terms out from under the radical, assuming positive real numbers.

$\frac{7 + \sqrt{5}}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{7 + \sqrt{5}}{2}$

Decimal Form:

$4.61803398 \dots$