Basic Math Examples

$(2, 2)$ ,

$(1, 1)$

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.

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

Step 3

Simplify.

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Step 3.1

Subtract

$2$ from

$1$ .

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

Step 3.2

Raise

$- 1$ to the power of

$2$ .

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

Step 3.3

Subtract

$2$ from

$1$ .

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

Step 3.4

Raise

$- 1$ to the power of

$2$ .

$\sqrt{1 + 1}$

Step 3.5

Add

$1$ and

$1$ .

$\sqrt{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{2}$

Decimal Form:

$1.41421356 \dots$

Step 5