Question

Find the mean proportional for each pair. SHOW YOUR SOLUTION 1. 6, 24

Answer 1

Answer:

The mean proportional of 6, and 24 will be 12

Step-by-step explanation:

We know that the Mean proportional of two

numbers, x, and y :  $\sqrt{xy}$

Therefore, the mean proportional of 6, and 24

$=\sqrt{6\times 24}$

$=\sqrt{144}$

$\mathrm{Factor\:the\:number:\:}\:144=12^2$

$=\sqrt{12^2}$

$\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a$

$\sqrt{12^2}=12$

$=12$

Therefore, the mean proportional of 6, and 24 will be 12.