Trigonometry Examples

$\frac{50 \sqrt{5} (- \sqrt{2})}{2}$

Step 1

Cancel the common factor of $50$ and $2$ .

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Step 1.1

Factor $2$ out of $50 \sqrt{5} (- \sqrt{2})$ .

$\frac{2 (25 \sqrt{5} (- \sqrt{2}))}{2}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $2$ out of $2$ .

$\frac{2 (25 \sqrt{5} (- \sqrt{2}))}{2 (1)}$

Step 1.2.2

Cancel the common factor.

$\frac{2 (25 \sqrt{5} (- \sqrt{2}))}{2 \cdot 1}$

Step 1.2.3

Rewrite the expression.

$\frac{25 \sqrt{5} (- \sqrt{2})}{1}$

Step 1.2.4

Divide $25 \sqrt{5} (- \sqrt{2})$ by $1$ .

$25 \sqrt{5} (- \sqrt{2})$

$25 \sqrt{5} (- \sqrt{2})$

$25 \sqrt{5} (- \sqrt{2})$

Step 2

Multiply $25 \sqrt{5} (- \sqrt{2})$ .

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Step 2.1

Multiply $- 1$ by $25$ .

$- 25 \sqrt{5} \sqrt{2}$

Step 2.2

Combine using the product rule for radicals.

$- 25 \sqrt{2 \cdot 5}$

Step 2.3

Multiply $2$ by $5$ .

$- 25 \sqrt{10}$

$- 25 \sqrt{10}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- 25 \sqrt{10}$

Decimal Form:

$- 79.05694150 \dots$

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