Algebra Examples

$(a, b)$ , $(0, 0)$

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.

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

Step 3

Simplify.

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Step 3.1

Subtract $a$ from $0$ .

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

Step 3.2

Apply the product rule to $- a$ .

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

Step 3.3

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

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

Step 3.4

Multiply $a^{2}$ by $1$ .

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

Step 3.5

Subtract $b$ from $0$ .

$\sqrt{a^{2} + {(- b)}^{2}}$

Step 3.6

Apply the product rule to $- b$ .

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

Step 3.7

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

$\sqrt{a^{2} + 1 b^{2}}$

Step 3.8

Multiply $b^{2}$ by $1$ .

$\sqrt{a^{2} + b^{2}}$