Question

Find the geometric mean between the two numbers.

$49$and $25$

Short answer

Geometric mean is $35$.

Step-by-step solution

Step 1. Given information.

The given two numbers are,

$49$ and $25$

Step 2. Formula used.

Geometric mean between two numbers $a$and $b$

$r=\sqrt{a_1\times a_2}$

Here,

$\begin{array}{c}{a}_1=49\\ a_2=25\end{array}$

Step 3. Calculate the mean.

$\begin{array}{c}\text{Mean}=\sqrt{a_1\times a_2}\\ =\sqrt{49\times 25}\\ =\sqrt{7^2\times 5^2}\\ =7\times 5\\ =35\end{array}$

Step 4. Neglect negative sign.

Since, square root is positive quantity.

Therefore, the geometric mean between the two numbers 49 and 25 is 35.