Basic Math Examples

(2, 0)

$(2, 0)$ ,

(2, - 8)

$(2, - 8)$

Step 1

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

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

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

Step 2

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

\sqrt{{(2 - 2)}^{2} + {((- 8) - 0)}^{2}}

$\sqrt{{(2 - 2)}^{2} + {((- 8) - 0)}^{2}}$

Step 3

Simplify.

Tap for more steps...

Step 3.1

Subtract

2

$2$ from

2

$2$ .

\sqrt{0^{2} + {((- 8) - 0)}^{2}}

$\sqrt{0^{2} + {((- 8) - 0)}^{2}}$

Step 3.2

Raising

0

$0$ to any positive power yields

0

$0$ .

\sqrt{0 + {((- 8) - 0)}^{2}}

$\sqrt{0 + {((- 8) - 0)}^{2}}$

Step 3.3

Subtract

0

$0$ from

- 8

$- 8$ .

\sqrt{0 + {(- 8)}^{2}}

$\sqrt{0 + {(- 8)}^{2}}$

Step 3.4

Raise

- 8

$- 8$ to the power of

2

$2$ .

\sqrt{0 + 64}

$\sqrt{0 + 64}$

Step 3.5

Add

$0$ and

$64$ .

$\sqrt{64}$

Step 3.6

Rewrite

$64$ as

$8^{2}$ .

$\sqrt{8^{2}}$

Step 3.7

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

$8$

Step 4