Saiyan
  • Saiyan
4. What is the simplest form of the expression. sqrt 3-sqrt 6/sqrt 3 + sqrt 6
Mathematics
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions

Saiyan
  • Saiyan
I would like some help because somewhere in the equation i am making a mistake in multiplying it by the conjugate.
Nnesha
  • Nnesha
show your work plz!
Nnesha
  • Nnesha
so we can find ur mistake :=)

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

Nnesha
  • Nnesha
what is the conjugate ?
Saiyan
  • Saiyan
|dw:1438037552571:dw|
Nnesha
  • Nnesha
right now multiply \[\huge\rm \frac{ (\sqrt{3} - \sqrt{6})(\sqrt{3} - \sqrt{6}) }{ (\sqrt{3}+ \sqrt{6}) (\sqrt{3}-\sqrt{6}) }\] now apply foil method at the top and bottom
anonymous
  • anonymous
@Nnesha after you are done helping him, can you please help me
Saiyan
  • Saiyan
\[\sqrt{3}^2-\sqrt{6}^2/(\sqrt{3}-\sqrt{6})^2\]
Nnesha
  • Nnesha
well parentheses at the numerator are the same but not at the denominator careful abt signs
Nnesha
  • Nnesha
\[\huge\rm \frac{ (\sqrt{3} \color{reD}{-} \sqrt{6})(\sqrt{3} \color{REd}{-} \sqrt{6}) }{ (\sqrt{3}\color{Red}{+} \sqrt{6}) (\sqrt{3}\color{Red}{-}\sqrt{6}) }\] familiar wit the foil method ?
Saiyan
  • Saiyan
yes
Nnesha
  • Nnesha
good so apply that :=)
Saiyan
  • Saiyan
the answer i typed above was my answer to that
Nnesha
  • Nnesha
is it 3^2 under the square root ?
Saiyan
  • Saiyan
no
Nnesha
  • Nnesha
\[(\sqrt{3})^2\] like this ?
Saiyan
  • Saiyan
yes
Nnesha
  • Nnesha
well no that's right
Nnesha
  • Nnesha
|dw:1438038779860:dw| try again \[\huge\rm \color{ReD}{\sqrt{3}}({\sqrt{3}} -\sqrt{6}) \color{ReD}{- \sqrt{6}}(\sqrt{3}- \sqrt{6})\] distribute
Saiyan
  • Saiyan
ok hold on
Saiyan
  • Saiyan
\[\sqrt{9}-\sqrt{18}-\sqrt{18}+\sqrt{36}\]
Nnesha
  • Nnesha
perfect take square rot of 9 and 36 combine - s quare root of 18
Saiyan
  • Saiyan
3+6-sqrt36
Nnesha
  • Nnesha
what is square root of 36 ?
Nnesha
  • Nnesha
\[\sqrt{9}\color{Red}{-\sqrt{18}-\sqrt{18}}+\sqrt{36}\] combine those two terms
Saiyan
  • Saiyan
3-sqrt36+6
Nnesha
  • Nnesha
\[\sqrt{9}\color{Red}{-\sqrt{18}-\sqrt{18}}+\sqrt{36}\] \[3 ~~\color{REd}{??????} +6\] square root of 36 is 6 and now -sqr{18} - sqt{18} isn't equal to sqrt{36
Nnesha
  • Nnesha
it is same as x^2 + x^2 = 2x^2
Saiyan
  • Saiyan
-18-18=36
Saiyan
  • Saiyan
-36
Nnesha
  • Nnesha
nope it's not just -18 let's say \[\sqrt{18}=x^2\] so -x^2 -x^2 =what ?
Saiyan
  • Saiyan
-2x^2
Nnesha
  • Nnesha
yes right now change x^2 with sqrt{18) so u get ?
Saiyan
  • Saiyan
18
Nnesha
  • Nnesha
we assume that sqrt{18} is x^2 so just replace x^2 by sqrt{18} you will get \[-2\sqrt{18}\]
Nnesha
  • Nnesha
you need to combine them not multiply
Nnesha
  • Nnesha
add
Nnesha
  • Nnesha
just like x+x = 2x same way \[-\sqrt{18}-\sqrt{18} = -2\sqrt{18}\]
Saiyan
  • Saiyan
oh ok
Nnesha
  • Nnesha
yes so numerator is \[\frac{ \color{Red}{3}-2\sqrt{18}+\color{Red}{6} }{ }\] combine like terms
Nnesha
  • Nnesha
and then apply foil method at the denominator \[(\sqrt{3}+\sqrt{6})(\sqrt{3}-\sqrt{6}) = ?\]
Saiyan
  • Saiyan
so it 9-2 to the sqrt 18
Nnesha
  • Nnesha
yep right and then you have to factor sqrt 18
Saiyan
  • Saiyan
ok i got the answer thx
Nnesha
  • Nnesha
u sure ?
Saiyan
  • Saiyan
yep now i understand
Saiyan
  • Saiyan
thx
Nnesha
  • Nnesha
alright then . let me know if u need help my pleasure :=)

Looking for something else?

Not the answer you are looking for? Search for more explanations.