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Find the geometric mean of 6 and 7.

A. [tex]\sqrt{42}[/tex]
B. [tex]4 \sqrt{3}[/tex]
C. 7
D. 42

Please select the best answer from the choices provided.

A
B
C
D

Sagot :

GinnyAnswer
To find the geometric mean of two numbers, we use the formula for the geometric mean:

[tex]\[ \text{Geometric mean} = \sqrt{a \times b} \][/tex]

In this problem, the numbers given are \( a = 6 \) and \( b = 7 \).

Let's calculate the geometric mean step-by-step:

1. Multiply the two numbers:
[tex]\[ a \times b = 6 \times 7 = 42 \][/tex]

2. Take the square root of the product:
[tex]\[ \sqrt{42} \][/tex]

The geometric mean of 6 and 7 is \(\sqrt{42}\).

Among the given choices:
A. \(\sqrt{42}\)
B. \(4 \sqrt{3}\)
C. 7
D. 42

The correct answer is:
[tex]\[ \boxed{\sqrt{42}} \][/tex]
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