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 : [tex]\sqrt{xy}[/tex]
Therefore, the mean proportional of 6, and 24
[tex]=\sqrt{6\times 24}[/tex]
[tex]=\sqrt{144}[/tex]
[tex]\mathrm{Factor\:the\:number:\:}\:144=12^2[/tex]
[tex]=\sqrt{12^2}[/tex]
[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a[/tex]
[tex]\sqrt{12^2}=12[/tex]
[tex]=12[/tex]
Therefore, the mean proportional of 6, and 24 will be 12.
