anonymous
  • anonymous
how do you find the geometric mean of two numbers?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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ash2326
  • ash2326
Suppose we have two numbers a and b their Geometric Mean is given as \[ \sqrt{ab}\]
anonymous
  • anonymous
so i multiply them and then find the squareroot?
ash2326
  • ash2326
yeah

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anonymous
  • anonymous
ok
anonymous
  • anonymous
i got a decimal and none of my choices are a decimal :/
Hero
  • Hero
The proper equation is \[\frac{x}{a} = \frac{b}{x}\] Then cross multiply to get \[x^2 = ab\] Then square root both sides to get \[x = \sqrt{ab}\]
myininaya
  • myininaya
and of n numbers it is \[GM=\sqrt[n]{x_1x_2x_3 \cdots x_n}\]
anonymous
  • anonymous
ok, the two number i ahev is 5 and 15. and i cross multiplied and got 75, and the squareroot of 75 is 8.66025.... but none of the answers has a decimal. but one of them does have 8. so im alil confused here
Hero
  • Hero
sqrt{25*3) = 5 root{3}
myininaya
  • myininaya
\[GM=\sqrt{5 \cdot 15} =\sqrt{5 \cdot 5 \cdot 3} =5 \sqrt{3}\] yeah what hero said

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