Trigonometry Examples

$\sqrt{21 (21 - 14)} (21 - 13) (21 - 14)$

Step 1

Subtract $14$ from $21$ .

$\sqrt{21 \cdot 7} (21 - 13) (21 - 14)$

Step 2

Multiply $21$ by $7$ .

$\sqrt{147} (21 - 13) (21 - 14)$

Step 3

Rewrite $147$ as $7^{2} \cdot 3$ .

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Step 3.1

Factor $49$ out of $147$ .

$\sqrt{49 (3)} (21 - 13) (21 - 14)$

Step 3.2

Rewrite $49$ as $7^{2}$ .

$\sqrt{7^{2} \cdot 3} (21 - 13) (21 - 14)$

$\sqrt{7^{2} \cdot 3} (21 - 13) (21 - 14)$

Step 4

Pull terms out from under the radical.

$7 \sqrt{3} (21 - 13) (21 - 14)$

Step 5

Simplify the expression.

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Step 5.1

Subtract $13$ from $21$ .

$7 \sqrt{3} \cdot 8 (21 - 14)$

Step 5.2

Multiply $8$ by $7$ .

$56 \sqrt{3} (21 - 14)$

Step 5.3

Subtract $14$ from $21$ .

$56 \sqrt{3} \cdot 7$

Step 5.4

Multiply $7$ by $56$ .

$392 \sqrt{3}$

$392 \sqrt{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$392 \sqrt{3}$

Decimal Form:

$678.96391656 \dots$

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