Answered

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Find the geometric mean of 10 and 40. If necessary, express your answer in simplest radical form

Sagot :

Answer:

20

Step-by-step explanation:

For two numbers, geometric mean is: [tex](x1*x2)^{\frac{1}{2}}[/tex]

We are given the numbers 10 and 40.

[tex](10*40)^{\frac{1}{2}}\\\\400^{\frac{1}{2}}\\\\\\\text{Apply Rule: } a\frac{b}{c} =\sqrt[c]{a^b}\\\\\\\sqrt{400}=\boxed{20}[/tex]

Hope this helps.

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