Linear Algebra Examples

\sqrt{820}

$\sqrt{820}$

Step 1

Rewrite

820

$820$ as

2^{2} \cdot 205

$2^{2} \cdot 205$ .

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Step 1.1

Factor

4

$4$ out of

820

$820$ .

\sqrt{4 (205)}

$\sqrt{4 (205)}$

Step 1.2

Rewrite

4

$4$ as

2^{2}

$2^{2}$ .

\sqrt{2^{2} \cdot 205}

$\sqrt{2^{2} \cdot 205}$

\sqrt{2^{2} \cdot 205}

$\sqrt{2^{2} \cdot 205}$

Step 2

Pull terms out from under the radical.

2 \sqrt{205}

$2 \sqrt{205}$

Step 3

The result can be shown in multiple forms.

Exact Form:

2 \sqrt{205}

$2 \sqrt{205}$

Decimal Form:

28.63564212 \dots

$28.63564212 \dots$

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

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