Linear Algebra Examples

\sqrt{{(2 - 3)}^{2} + {(- 3 - 6)}^{2}}

$\sqrt{{(2 - 3)}^{2} + {(- 3 - 6)}^{2}}$

Step 1

Subtract

3

$3$ from

2

$2$ .

\sqrt{{(- 1)}^{2} + {(- 3 - 6)}^{2}}

$\sqrt{{(- 1)}^{2} + {(- 3 - 6)}^{2}}$

Step 2

Raise

- 1

$- 1$ to the power of

2

$2$ .

\sqrt{1 + {(- 3 - 6)}^{2}}

$\sqrt{1 + {(- 3 - 6)}^{2}}$

Step 3

Subtract

6

$6$ from

- 3

$- 3$ .

\sqrt{1 + {(- 9)}^{2}}

$\sqrt{1 + {(- 9)}^{2}}$

Step 4

Raise

- 9

$- 9$ to the power of

2

$2$ .

\sqrt{1 + 81}

$\sqrt{1 + 81}$

Step 5

Add

1

$1$ and

81

$81$ .

\sqrt{82}

$\sqrt{82}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\sqrt{82}

$\sqrt{82}$

Decimal Form:

9.05538513 \dots

$9.05538513 \dots$

[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$