Question

Help pleasee!! How do you change 8/5 into a radical?!?

Answer 1

8/5 into a radical? what is that?

Answer 2

what is what a radical?

Answer 3

yes, I mean.. what's the expected answer anyhow? how should it look like?

Answer 4

i was going to ask same question as jdoe0001

Answer 5

A radical or a ratio? Because a radical is like \(x\sqrt{y}\)

Answer 6

hmmmm ok

Answer 7

Is the original this?

\(\dfrac{8}{\sqrt{5}}\)

Answer 8

no its just 8/5

Answer 9

Or something like that? Perhaps:
\(\dfrac{\sqrt{8}}{\sqrt{5}}\)

Because \(\dfrac{8}{5}\ne \dfrac{2\sqrt{10}}{5}\)

Answer 10

no its just 8/5

Answer 11

See, \(2\sqrt{10} \approx 6.3245553203367586639977870888654\)

Hey, did they do this?

\(\sqrt{\dfrac{8}{5}}\)

Answer 12

wait what

Answer 13

yeah...... is not quite workable
for one \(\bf \cfrac{8}{5}=1.6\qquad \cfrac{2\sqrt{10}}{5}=1.2649110640673517328
\\ \quad \\
1.6\ne 1.2649110640673517328\)

Answer 14

check your material, maybe something is amiss
or post a quick screenshot of the material

Answer 15

ok one sec

Answer 16

i cant get it to screen shot but we are doing geometric means. we are given the numbers 4/5 and 2. i have my proportions set up as 4/5/x=x/2 and got 8/5

Answer 17

if it's on the screen... press PrintScr button, usually next to the [F12] button on the keyboard

then go to Paint and Edit > paste
crop as needed, annotate as needed, save it
and post it here

Answer 18

OH! Geometric means! Those put everything under a radical!

Answer 19

so like can u help me then?

Answer 20

geometric mean of a and b is sqrt(ab)

Answer 21

Is the actual question this?

The geometric mean of 4, 5, and x = the geometric mean of x and 2

Answer 22

no the question has a pair of numbers. the numbers are 4/5 and 2

Answer 23

to get a proportion we were suppost to do 4/5/x=x/2

Answer 24

OK! yah, then take 4/5 as a and 2 as b and put it into what welshfella said.

Answer 25

For n constants k, (\(k_1, k_2, \dots ,k_n\)) the geometric mean is:

\(\sqrt[n]{k_1\times k_2\times \dots \times k_n}\)

So you put them under the radical, multiply, then take the nth root. Because you have two, it is the square root.

Answer 26

i have no clue how to do that. she never taught us..

Answer 27

Well, that is how it is done. For a geometric mean of two things, you multiply the two things than take theor square root.

If it was three seperate things (the fraction is 1 thing, not two) then you would multiply the three things and take their cube root. For 4 things, multiply the 4 then take the 4th root. On and on.

Answer 28

im just wondering how it went from 8/5 to 2 square root 10 over 5

Answer 29

because it is a geometric mean! A geometric mean turns everything into a radical of some sort.

Answer 30

See if this makes some sense:
http://www.freemathhelp.com/geometric-mean.html