Linear Algebra Examples

$\sqrt{4 + 76 - 4}$

Step 1

Add $4$ and $76$ .

$\sqrt{80 - 4}$

Step 2

Subtract $4$ from $80$ .

$\sqrt{76}$

Step 3

Rewrite $76$ as $2^{2} \cdot 19$ .

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Step 3.1

Factor $4$ out of $76$ .

$\sqrt{4 (19)}$

Step 3.2

Rewrite $4$ as $2^{2}$ .

$\sqrt{2^{2} \cdot 19}$

$\sqrt{2^{2} \cdot 19}$

Step 4

Pull terms out from under the radical.

$2 \sqrt{19}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{19}$

Decimal Form:

$8.71779788 \dots$

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