Mathematics
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OpenStudy (karatechopper):
@imranmeah91 help fast!!
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OpenStudy (karatechopper):
\[(3^{3}\sqrt{15}\div 5\sqrt{3})^{2}\]
OpenStudy (karatechopper):
help! its in fraction form..i couldnt find a fraction bar
OpenStudy (anonymous):
3^3=27
Sqrt[15]=sqrt[5]* sqrt[3]
OpenStudy (anonymous):
well use the "/" and complete the question
OpenStudy (diyadiya):
\[\large \left( \frac{3^3\sqrt{15}}{5\sqrt{3}} \right)^2\]
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OpenStudy (diyadiya):
\[\large \sqrt{15}=\sqrt{5} \times \sqrt{3}\]
OpenStudy (diyadiya):
\[\large \left( \frac{3^3\sqrt{5} {\sqrt{3}}}{5\sqrt{3}} \right)^2\]
OpenStudy (diyadiya):
\[5=\sqrt{5} \times \sqrt{5}\]
OpenStudy (diyadiya):
\[\left( \frac{3^3}{\sqrt{5}} \right)^2 = \frac{3^6}{5}\]
OpenStudy (karatechopper):
this still confuses me..
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OpenStudy (diyadiya):
\[\large \left( \frac{3^3\sqrt{5} {\sqrt{3}}}{5\sqrt{3}} \right)^2\]
got this much ?
OpenStudy (karatechopper):
yep
OpenStudy (diyadiya):
Sure ?
then
5 can be written as \(\sqrt{5} \times \sqrt{5} \)
\[\large \left( \frac{3^3\sqrt{5} {\sqrt{3}}}{\sqrt{5} \sqrt{5}\sqrt{3}} \right)^2\]
OpenStudy (karatechopper):
ok
OpenStudy (diyadiya):
Now you can cancel 1 Sqrt 5 and 1 sqrt 3 from numerator and denominator \[\large \left( \frac{3^3}{\sqrt{5}} \right)^2\]
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OpenStudy (karatechopper):
did tht
OpenStudy (diyadiya):
It can be written as
\[\frac{(3^3)^2}{(\sqrt{5})^2}\]
OpenStudy (karatechopper):
yes
OpenStudy (diyadiya):
Now what do you get?
OpenStudy (karatechopper):
(27)^2 / 5
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OpenStudy (karatechopper):
then i get..
OpenStudy (diyadiya):
Right!
OpenStudy (diyadiya):
=D
OpenStudy (karatechopper):
729/5?
OpenStudy (diyadiya):
Yup!!!
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OpenStudy (karatechopper):
:D
OpenStudy (karatechopper):
ok now i have a new question..
OpenStudy (diyadiya):
Ok.. post it as new question ..this is lagging ..
OpenStudy (karatechopper):
kk