Basic Math Examples

$\sqrt{20 \cdot 20 - 4 \cdot 3 \cdot 7}$

Step 1

Multiply $20$ by $20$ .

$\sqrt{400 - 4 \cdot 3 \cdot 7}$

Step 2

Multiply $- 4 \cdot 3 \cdot 7$ .

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Step 2.1

Multiply $- 4$ by $3$ .

$\sqrt{400 - 12 \cdot 7}$

Step 2.2

Multiply $- 12$ by $7$ .

$\sqrt{400 - 84}$

$\sqrt{400 - 84}$

Step 3

Subtract $84$ from $400$ .

$\sqrt{316}$

Step 4

Rewrite $316$ as $2^{2} \cdot 79$ .

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Step 4.1

Factor $4$ out of $316$ .

$\sqrt{4 (79)}$

Step 4.2

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

$\sqrt{2^{2} \cdot 79}$

$\sqrt{2^{2} \cdot 79}$

Step 5

Pull terms out from under the radical.

$2 \sqrt{79}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{79}$

Decimal Form:

$17.77638883 \dots$

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