Question

My head hurts! Any math loving folks able to shine a light on this problem?
Simplify
(sqrt48)-6
10
Pretend this is a fraction (not sure how to enter all that in).
So I'm not sure if I should - the 6 first or simplify the sqrt. I decided the square should be simplified first but its an imperfect square. I am temporarily giving up and admitting I need help. :/

Answer 1

\[\sqrt{46}-6\]
Is that the question?

Answer 2

46 should be 48 and then what you have is over 10. :)

Answer 3

or is it
\[\frac{ \sqrt{46}-6 }{ 10 }\]

Answer 4

Thats right except for the 46 needs to be 48. Or is my screen just goofing up?

Answer 5

lol..its my mistake..

Answer 6

\[\frac{ \sqrt{48}-6 }{ 10 }\]
square everything
\[(\frac{ \sqrt{48}-6 }{10 })^{2}\]
\[\frac{ 48-36 }{ 100 }\]
can you go on from there?

Answer 7

Silly question... is it standard in math to do what you did? Like a no brainer, next step sort of thing?

Answer 8

I know I do that when I complete the square of a quadratic equation, but I never thought I had permission to do that for another problem.

Answer 9

haha lol...math is all about being creative. Using the basics you have

Answer 10

Some part of my human nature is doubting it is really that simple. Thanks for your feedback :)

Answer 11

you welcome!

Answer 12

I went on math site to check this answer and it comes up with something completely different. Any idea why?

Answer 13

what does it come with

Answer 14

I mean what is the answer

Answer 15

ok let me write it down

Answer 16

Woah my life just got changed. I just saw the equation button! \[\frac{ 1 }{ 5} (2\sqrt{3} -3)\]

Answer 17

There it is :D

Answer 18

But sometimes I don't trust mathway, so don't please dont be offended by my question ;)

Answer 19

this is how they did it
\[\sqrt{48}\]
is the same as
\[\sqrt{16\times3}\]
so
\[\frac{ \sqrt{16\times3}-6 }{ 10 }\]
\[\frac{ 4\sqrt{3}-6 }{ 10 }\]
Then simplified by dividing by 2
\[\frac{ 2\sqrt{3} -3}{ 5 }\]
which is same as
\[\frac{ 1 }{ 5 }(2\sqrt{3}-3)\]

Answer 20

lol..thats how

Answer 21

good gravy. I feel overwhelmed. How do you know which answer is right?

Answer 22

AWESOME explanation by the way :D

Answer 23

i was wrong :(

Answer 24

mathway was right

Answer 25

Is there anything I can do to give you a medal? I'm blown away from the time you took to help me and your humbleness too

Answer 26

(but I'm not familiar with this site so not sure how to do that)

Answer 27

hahaha lol..no medal needed..

Answer 28

im here to learn too

Answer 29

I'm always so curious about the people who answer these. So far you are my favorite. Thanks a million, Mokeira!

Answer 30

lol @LaylaJ ...just practise they are not hard

Answer 31

Glad to help