Basic Math Examples

$a \sqrt{0.09} = 3$

Step 1

Divide each term in $a \sqrt{0.09} = 3$ by $\sqrt{0.09}$ .

$\frac{a \sqrt{0.09}}{\sqrt{0.09}} = \frac{3}{\sqrt{0.09}}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $\sqrt{0.09}$ .

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Step 2.1.1

Cancel the common factor.

$\frac{a \sqrt{0.09}}{\sqrt{0.09}} = \frac{3}{\sqrt{0.09}}$

Step 2.1.2

Divide $a$ by $1$ .

$a = \frac{3}{\sqrt{0.09}}$

Step 3

Simplify the right side.

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Step 3.1

Simplify the denominator.

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Step 3.1.1

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

$a = \frac{3}{\sqrt{{0.3}^{2}}}$

Step 3.1.2

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

$a = \frac{3}{0.3}$

Step 3.2

Divide $3$ by $0.3$ .

$a = 10$