Question

find the geometric mean of (1/4) and 80 if necessary give the answer in simplest radical form . please show work thank you

Answer 1

well that was wrong

\[80\times \frac{1}{4}=20\]
\[\sqrt{20}=\sqrt{4\times 5}=2\sqrt{5}\]

Answer 2

not that you should not ask, but is this clear? the steps i mean.

Answer 3

yess they are and thank you but i can't find a scientific calculator online

Answer 4

(1/4)/x = x/ 80

x^2 = 20

x = 2 √ 5

Answer 5

http://www.wolframalpha.com/input/?i=sqrt%2880*1%2F4%29

Answer 6

http://www.calculator.com/calcs/calc_sci.html

Answer 7

i bet you can divide 80 by 4 without a calculator (even though my first answer was wrong!)

Answer 8

it was ( 1/4) not 4

Answer 9

yes i know, but 80 times 1/4 is the same as 80 divided by 4

Answer 10

ohhhh

Answer 11

believe me i am not trying to be critical, it is just that if god forbid you have to take a test or get a quiz on this i hope it is clear what to do.
multiply
take the square root
write in simplest radical form by looking for perfect squares in the radical

Answer 12

most on line calculators will not write things in simplest radical form for you
neither will hand held ones.
you have to do it yourself, or use worlfamalpha

Answer 13

that is if you use a calculator you will see
\[\sqrt{20}=4.472...\] not
\[\sqrt{20}=2\sqrt{5}\]

Answer 14

yeaa thanks you