## anonymous 4 years ago how do you find the geometric mean of two numbers?

1. ash2326

Suppose we have two numbers a and b their Geometric Mean is given as $\sqrt{ab}$

2. anonymous

so i multiply them and then find the squareroot?

3. ash2326

yeah

4. anonymous

ok

5. anonymous

i got a decimal and none of my choices are a decimal :/

6. 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 $x = \sqrt{ab}$

7. myininaya

and of n numbers it is $GM=\sqrt[n]{x_1x_2x_3 \cdots x_n}$

8. 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

9. Hero

sqrt{25*3) = 5 root{3}

10. myininaya

$GM=\sqrt{5 \cdot 15} =\sqrt{5 \cdot 5 \cdot 3} =5 \sqrt{3}$ yeah what hero said