Algebra Examples

17 i - 8 j

$17 i - 8 j$

Step 1

The length of the vector is the square root of the quantity of the

i

$i$ coordinate squared plus the

j

$j$ coordinate squared.

\sqrt{{(17)}^{2} + {(- 8)}^{2}}

$\sqrt{{(17)}^{2} + {(- 8)}^{2}}$

Step 2

Evaluate the square root.

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Step 2.1

Raise

17

$17$ to the power of

2

$2$ .

\sqrt{289 + {(- 8)}^{2}}

$\sqrt{289 + {(- 8)}^{2}}$

Step 2.2

Raise

- 8

$- 8$ to the power of

2

$2$ .

\sqrt{289 + 64}

$\sqrt{289 + 64}$

Step 2.3

Add

289

$289$ and

64

$64$ .

\sqrt{353}

$\sqrt{353}$

\sqrt{353}

$\sqrt{353}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\sqrt{353}

$\sqrt{353}$

Decimal Form:

18.78829422 \dots

$18.78829422 \dots$

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