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find the geometric mean of 6 and 7. a. \\(\\sqrt{42}\\) b. \\(4\\sqrt{3…

Question

find the geometric mean of 6 and 7. a. \\(\sqrt{42}\\) b. \\(4\sqrt{3}\\) c. 7 d. 42

Explanation:

Step1: Recall geometric mean formula

For 2 numbers $a,b$, mean = $\sqrt{a \times b}$

Step2: Substitute $a=6, b=7$

$\sqrt{6 \times 7} = \sqrt{42}$

Answer:

A. $\sqrt{42}$