Question

Find the geometric mean of 2 and 98. pls explain how to solve this in steps

Answer 1

Answer:  14

============================================================

Work Shown:

$m=\text{geometric mean of x and y}\\\\m = \sqrt{x*y}\\\\m = \sqrt{2*98}\\\\m = \sqrt{196}\\\\m = \sqrt{14^2}\\\\m = 14$

The geometric mean of two numbers has us do two steps in this order

1. Multiply the values
2. Apply the square root

The geometric mean can be applied to more than two values. Regardless of how many values you have, you always multiply them out. However, the number of values will tell you what kind of root you'll take (eg: 3 values leads to a cube root; 4 values means you'll take a fourth root, etc).