Simplify ( square root of 2)/( square root of 2-1)

$\frac{\sqrt{2}}{\sqrt{2 - 1}}$

Step 1

Simplify the denominator.

Subtract $1$ from $2$ .

$\frac{\sqrt{2}}{\sqrt{1}}$

Any root of $1$ is $1$ .

$\frac{\sqrt{2}}{1}$

Step 2

Divide $\sqrt{2}$ by $1$ .

$\sqrt{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\sqrt{2}$

Decimal Form:

$1.41421356 \dots$