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37 votes
37 votes
What is the geometric mean of 27 and 8

User Cargeh
by
2.7k points

2 Answers

28 votes
28 votes

Answer:

6√6

Explanation:

The geometric mean of numbers 27 and 8 is calculated by

-multiplying the numbers, to find the area made by a rectangle that is 27 by 8 and then

-square root the result to shape the area into a square, and find the side of the square

Geometric Mean of 27 and 8 is √(27·8)

We can simplify the square-root by writing the prime factors of the numbers 27 = 3·3·3 and 8 = 2·2·2.

√(27·8) = √(3·3·3·2·2·2) = 3·2√(3·2) = 6√6

Geometric Mean of 27 and 8 is 6√6

User Dshgna
by
3.2k points
16 votes
16 votes

Answer:


6 √(6)

Explanation:


√(27 * 8) = √(216) = √(36 * 6) = √(36) √(6) = 6 √(6)

User Alexander Udalov
by
2.8k points