Basic Math Examples

$9 \sqrt{5}$ , $(- 3 \sqrt{5})$

Step 1

Remove parentheses.

$9 \sqrt{5}, - 3 \sqrt{5}$

Step 2

The mean of a set of numbers is the sum divided by the number of terms.

$\frac{9 \sqrt{5} - 3 \sqrt{5}}{2}$

Step 3

Subtract $3 \sqrt{5}$ from $9 \sqrt{5}$ .

$\frac{6 \sqrt{5}}{2}$

Step 4

Cancel the common factor of $6$ and $2$ .

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Step 4.1

Factor $2$ out of $6 \sqrt{5}$ .

$\frac{2 (3 \sqrt{5})}{2}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $2$ out of $2$ .

$\frac{2 (3 \sqrt{5})}{2 (1)}$

Step 4.2.2

Cancel the common factor.

$\frac{2 (3 \sqrt{5})}{2 \cdot 1}$

Step 4.2.3

Rewrite the expression.

$\frac{3 \sqrt{5}}{1}$

Step 4.2.4

Divide $3 \sqrt{5}$ by $1$ .

$3 \sqrt{5}$

Step 5

Divide.

$6.70820393$

Step 6

The 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.

$6.7$