Respuesta :

Answer:

[tex] 6 \sqrt{6} [/tex]

Step-by-step explanation:

[tex] \sqrt{27 \times 8} = \sqrt{216} = \sqrt{36 \times 6} = \sqrt{36} \sqrt{6} = 6 \sqrt{6} [/tex]

s1m1

Answer:

6√6

Step-by-step 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

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