Algebra Examples

$17 i - 8 j$

The length of the vector is the square root of the quantity of the $i$ coordinate squared plus the $j$ coordinate squared.

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

Evaluate the square root.

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Remove parentheses around $17$ .

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

Raise $17$ to the power of $2$ to get $289$ .

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

Raise $- 8$ to the power of $2$ to get $64$ .

$l = \sqrt{289 + 64}$

Add $289$ and $64$ to get $353$ .

$l = \sqrt{353}$

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