Basic Math Examples

$\sqrt{\frac{4}{25}} \cdot \sqrt{0.09}$

Step 1

Rewrite $\sqrt{\frac{4}{25}}$ as $\frac{\sqrt{4}}{\sqrt{25}}$ .

$\frac{\sqrt{4}}{\sqrt{25}} \cdot \sqrt{0.09}$

Step 2

Simplify the numerator.

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Step 2.1

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

$\frac{\sqrt{2^{2}}}{\sqrt{25}} \cdot \sqrt{0.09}$

Step 2.2

Pull terms out from under the radical, assuming positive real numbers.

$\frac{2}{\sqrt{25}} \cdot \sqrt{0.09}$

Step 3

Simplify the denominator.

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Step 3.1

Rewrite $25$ as $5^{2}$ .

$\frac{2}{\sqrt{5^{2}}} \cdot \sqrt{0.09}$

Step 3.2

Pull terms out from under the radical, assuming positive real numbers.

$\frac{2}{5} \cdot \sqrt{0.09}$

Step 4

Rewrite $0.09$ as ${0.3}^{2}$ .

$\frac{2}{5} \cdot \sqrt{{0.3}^{2}}$

Step 5

Pull terms out from under the radical, assuming positive real numbers.

$\frac{2}{5} \cdot 0.3$

Step 6

Multiply $\frac{2}{5} \cdot 0.3$ .

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Step 6.1

Combine $\frac{2}{5}$ and $0.3$ .

$\frac{2 \cdot 0.3}{5}$

Step 6.2

Multiply $2$ by $0.3$ .

$\frac{0.6}{5}$

Step 7

Divide $0.6$ by $5$ .

$0.12$