Basic Math Examples

$30$ , $452 \div 8$

Step 1

Rewrite the division as a fraction.

$30, \frac{452}{8}$

Step 2

Cancel the common factor of $452$ and $8$ .

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Step 2.1

Factor $4$ out of $452$ .

$30, \frac{4 (113)}{8}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $4$ out of $8$ .

$30, \frac{4 \cdot 113}{4 \cdot 2}$

Step 2.2.2

Cancel the common factor.

$30, \frac{4 \cdot 113}{4 \cdot 2}$

Step 2.2.3

Rewrite the expression.

$30, \frac{113}{2}$

Step 3

Use the formula to find the geometric mean.

$\sqrt{30 \cdot \frac{113}{2}}$

Step 4

Combine $30$ and $\frac{113}{2}$ .

$\sqrt{\frac{30 \cdot 113}{2}}$

Step 5

Reduce the expression by cancelling the common factors.

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Step 5.1

Reduce the expression $\frac{30 \cdot 113}{2}$ by cancelling the common factors.

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Step 5.1.1

Factor $2$ out of $30 \cdot 113$ .

$\sqrt{\frac{2 (15 \cdot 113)}{2}}$

Step 5.1.2

Factor $2$ out of $2$ .

$\sqrt{\frac{2 (15 \cdot 113)}{2 (1)}}$

Step 5.1.3

Cancel the common factor.

$\sqrt{\frac{2 (15 \cdot 113)}{2 \cdot 1}}$

Step 5.1.4

Rewrite the expression.

$\sqrt{\frac{15 \cdot 113}{1}}$

Step 5.2

Divide $15 \cdot 113$ by $1$ .

$\sqrt{15 \cdot 113}$

Step 6

Multiply $15$ by $113$ .

$\sqrt{1695}$

Step 7

Approximate the result.

$41.1703777$

Step 8

The geometric mean should be rounded to one more decimal place than the original data. If the original data were mixed, round to one decimal place more than the least precise.

$41.2$