Question

Find the geometric mean of the two numbers. 14 and 20.

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 2Determine the geometric mean.

$\begin{align*} x^{2} &= ab && \text{Definition of geometric mean}\\ x^{2} &= 14 \cdot 20 && \text{Substitute}\\ x &= \sqrt{14 \cdot 20} && \text{Take positive square root of each side}\\ x &= \sqrt{280} && \text{Multiply}\\ x &= \sqrt{4 \cdot 70} && \text{Factor}\\ x &= 2\sqrt{70} && \text{Simplify} \end{align*}$

## Create an account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Create an account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Recommended textbook solutions

#### Big Ideas Math Geometry: A Common Core Curriculum

1st Edition•ISBN: 9781608408399 (1 more)Boswell, Larson4,072 solutions

#### Big Ideas Math Geometry: A Common Core Curriculum

1st Edition•ISBN: 9781642087611Ron Larson4,072 solutions

## More related questions

- calculus

1/4

- calculus

1/7