Precalculus Examples

$(2, 1)$ , $(0, 0)$

Step 1

Use the distance formula to determine the distance between the two points.

$Distance = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$

Step 2

Substitute the actual values of the points into the distance formula.

$\sqrt{{(0 - 2)}^{2} + {(0 - 1)}^{2}}$

Step 3

Simplify.

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Step 3.1

Subtract $2$ from $0$ .

$\sqrt{{(- 2)}^{2} + {(0 - 1)}^{2}}$

Step 3.2

Raise $- 2$ to the power of $2$ .

$\sqrt{4 + {(0 - 1)}^{2}}$

Step 3.3

Subtract $1$ from $0$ .

$\sqrt{4 + {(- 1)}^{2}}$

Step 3.4

Raise $- 1$ to the power of $2$ .

$\sqrt{4 + 1}$

Step 3.5

Add $4$ and $1$ .

$\sqrt{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{5}$

Decimal Form:

$2.23606797 \dots$

Step 5