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find the geometric mean of 10 and 18. if the answer is not a whole number leave it in the simplest radical form

Sagot :

[tex]a_{1} =10 \ and = a_{2} =18 \\ \\ Geometric \ is : \\ \\ a=\sqrt{a_{1}\cdot a_{2}} \\ \\a=\sqrt{10\cdot 18} =\sqrt{180} =\sqrt{36\cdot 5}=\sqrt{36}\sqrt{5}=6\sqrt{5} \approx 6 \cdot 2.24 \approx 13.44[/tex]