What is the geometric mean of 81 and 4?

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Answer 1 · 2018-02-20T14:10:30

$The GM of 81 and 4, by definition, is \sqrt{81 \times 4} = 18$ $"The GM of "81 and 4," by definition, is "sqrt(81xx4)=18$ .

Answer 2 · 2018-02-20T14:13:20

$\sqrt{81 \cdot 4} = 9 \cdot 2 = 18$ $sqrt(81*4) = 9*2 = 18$

Geometric mean of a and b = Square root of (a x b)

Answer 3 · 2018-02-20T14:17:56

see a solution process below;

We can say let those two digits be represented by $x and z$ $x and z$

Hence;

$x = 81$ $x = 81$

$z = 4$ $z = 4$

Geometric Mean $= y$ $= y$

Recall;

Geometric Mean $\Rightarrow y = \sqrt{x z}$ $rArr y =sqrt(xz)$

$y = \sqrt{x z}$ $y = sqrt(xz)$

Substituting the values..

$y = \sqrt{81 \times 4}$ $y = sqrt(81 xx 4)$

$y = \sqrt{324}$ $y = sqrt324$

$y = 18$ $y = 18$

Hence the Geometric Mean of 81 and 14 is 18.

Hope this helps!