Trigonometry Examples

$(2) (\frac{\sqrt{11}}{4}) (\frac{\sqrt{5}}{4})$

Step 1

Cancel the common factor of $2$ .

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Step 1.1

Factor $2$ out of $4$ .

$(2) (\frac{\sqrt{11}}{4}) \cdot \frac{\sqrt{5}}{2 (2)}$

Step 1.2

Cancel the common factor.

$2 \frac{\sqrt{11}}{4} \cdot \frac{\sqrt{5}}{2 \cdot 2}$

Step 1.3

Rewrite the expression.

$\frac{\sqrt{11}}{4} \cdot \frac{\sqrt{5}}{2}$

Step 2

Multiply $\frac{\sqrt{11}}{4}$ by $\frac{\sqrt{5}}{2}$ .

$\frac{\sqrt{11} \sqrt{5}}{4 \cdot 2}$

Step 3

Combine using the product rule for radicals.

$\frac{\sqrt{11 \cdot 5}}{4 \cdot 2}$

Step 4

Multiply.

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Step 4.1

Multiply $11$ by $5$ .

$\frac{\sqrt{55}}{4 \cdot 2}$

Step 4.2

Multiply $4$ by $2$ .

$\frac{\sqrt{55}}{8}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{\sqrt{55}}{8}$

Decimal Form:

$0.92702481 \dots$