Question

What is the geometrick mean of 27 and 8 with the pothagereom theorem

Answer 1

The geometric mean of 27 and 8 is
`6√(6)` or about 14.697

Explanation:

The geometric mean is
`( \prod_(i=1)^(n) x_(i))^{(1)/(n)}=\sqrt[n]{x_1x_2 \cdot\: \cdot \:\cdot x_n}` where
`n` is the number of values and
`x_i` are the values to average. Thus, your geometric mean is
`√(27*8)=√(216)=6√(6)\approx14.697`

Answer 2

x = 6√6

Explanation:

27/x = x/8

x² = 27 × 8

x = √(27 × 8)

x = √(9 × 4 × 6)

x = 3 × 2 × √6

x = 6√6