Basic Math Examples

$15$ , $34$ , $78$ , $90$ , $100$ , $75$ , $87$ , $71$ , $75$ , $78$ , $8290$ , $94$ , $78$

Step 1

Use the formula to find the geometric mean.

$\sqrt[13]{15 \cdot 34 \cdot 78 \cdot 90 \cdot 100 \cdot 75 \cdot 87 \cdot 71 \cdot 75 \cdot 78 \cdot 8290 \cdot 94 \cdot 78}$

Step 2

Multiply $15$ by $34$ .

$\sqrt[13]{510 \cdot 78 \cdot 90 \cdot 100 \cdot 75 \cdot 87 \cdot 71 \cdot 75 \cdot 78 \cdot 8290 \cdot 94 \cdot 78}$

Step 3

Multiply $510$ by $78$ .

$\sqrt[13]{39780 \cdot 90 \cdot 100 \cdot 75 \cdot 87 \cdot 71 \cdot 75 \cdot 78 \cdot 8290 \cdot 94 \cdot 78}$

Step 4

Multiply $39780$ by $90$ .

$\sqrt[13]{3580200 \cdot 100 \cdot 75 \cdot 87 \cdot 71 \cdot 75 \cdot 78 \cdot 8290 \cdot 94 \cdot 78}$

Step 5

Multiply $3580200$ by $100$ .

$\sqrt[13]{358020000 \cdot 75 \cdot 87 \cdot 71 \cdot 75 \cdot 78 \cdot 8290 \cdot 94 \cdot 78}$

Step 6

Multiply $358020000$ by $75$ .

$\sqrt[13]{26851500000 \cdot 87 \cdot 71 \cdot 75 \cdot 78 \cdot 8290 \cdot 94 \cdot 78}$

Step 7

Multiply $26851500000$ by $87$ .

$\sqrt[13]{2336080500000 \cdot 71 \cdot 75 \cdot 78 \cdot 8290 \cdot 94 \cdot 78}$

Step 8

Multiply $2336080500000$ by $71$ .

$\sqrt[13]{165861715500000 \cdot 75 \cdot 78 \cdot 8290 \cdot 94 \cdot 78}$

Step 9

Multiply $165861715500000$ by $75$ .

$\sqrt[13]{12439628662500000 \cdot 78 \cdot 8290 \cdot 94 \cdot 78}$

Step 10

Multiply $12439628662500000$ by $78$ .

$\sqrt[13]{970291035675000000 \cdot 8290 \cdot 94 \cdot 78}$

Step 11

Multiply $970291035675000000$ by $8290$ .

$\sqrt[13]{8043712685745750000000 \cdot 94 \cdot 78}$

Step 12

Multiply $8043712685745750000000$ by $94$ .

$\sqrt[13]{756108992460100500000000 \cdot 78}$

Step 13

Multiply $756108992460100500000000$ by $78$ .

$\sqrt[13]{58976501411887839000000000}$

Step 14

Approximate the result.

$96.01960687$

Step 15

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.

$96$