Question

What is sqrt(38)/2sqrt(6)?

Answer 1

@jim_thompson5910

Answer 2

to rationalize the denominator, you need to multiply top and bottom by sqrt(6)

Answer 3

???????????????????????????????????????????

Answer 4

where are you stuck

Answer 5

no offense, putting up a million question marks doesn't help at all

Answer 6

srry. I was taught that you don't do anything with the sqrts ?

Answer 7

the instructions are to rationalize the denominator no?

Answer 8

it says "What is the exact value of..."

Answer 9

and the full expression given is

\[\large \frac{\sqrt{38}}{2\sqrt{6}}\]

right?

Answer 10

yesh

Answer 11

7.54983443527

Answer 12

ok you multiply top and bottom by sqrt(6) like this

\[\large \frac{\sqrt{38}}{2\sqrt{6}}\]


\[\large \frac{\sqrt{38}*\sqrt{6}}{2\sqrt{6}*\sqrt{6}}\]


\[\large \frac{\sqrt{38*6}}{2\sqrt{6*6}}\]


\[\large \frac{\sqrt{228}}{2\sqrt{36}}\]


\[\large \frac{\sqrt{228}}{2*6}\]


\[\large \frac{\sqrt{228}}{12}\]


\[\large \frac{\sqrt{4*57}}{12}\]


\[\large \frac{\sqrt{4}*\sqrt{57}}{12}\]


\[\large \frac{2*\sqrt{57}}{12}\]


\[\large \frac{\sqrt{57}}{6}\]

Answer 13

^

Answer 14

i think i did something wrong no ?

Answer 15

ok so that is it? Wow...

Answer 16

THANKYOU!!!!!!!!!!!!!!!

Answer 17

no problem for nothing lol

Answer 18

DUDE..IM..A..DUCK you provided the approximate answer

they want the exact answer (in terms of radicals)