Simplify ( square root of 3)/( square root of 3+1)

$\frac{\sqrt{3}}{\sqrt{3 + 1}}$

Add $3$ and $1$ .

$\frac{\sqrt{3}}{\sqrt{4}}$

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

$\frac{\sqrt{3}}{\sqrt{2^{2}}}$

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

$\frac{\sqrt{3}}{2}$

The result can be shown in multiple forms.

Exact Form:

$\frac{\sqrt{3}}{2}$

Decimal Form:

$0.86602540 \dots$