Mathematics
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OpenStudy (saiyan):
9. what is the simplest form of the equation?
square root of 2 + square root of 5/square root of 2 - square root of 5.
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OpenStudy (saiyan):
Anyone help plz.
OpenStudy (sohailiftikhar):
Do mean that \[\sqrt{2}+\sqrt{5}\div \sqrt{2}-\sqrt{5}\]
OpenStudy (saiyan):
yes
OpenStudy (sohailiftikhar):
ok
OpenStudy (saiyan):
I just don't know the steps to work through it.
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OpenStudy (sohailiftikhar):
Do you want factorize it ?
OpenStudy (saiyan):
do u mean factor it
OpenStudy (sohailiftikhar):
you can multiply it with \[\sqrt{2}.\sqrt{5}\]
OpenStudy (sohailiftikhar):
to make it simple
OpenStudy (saiyan):
\[so \sqrt{2} \times \sqrt{5} which is \sqrt{10}\]
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OpenStudy (saiyan):
or do i multiply the equation times sqrt(5)
OpenStudy (danjs):
Is it supposed to be..
\[\frac{ \sqrt{2} + \sqrt{5} }{ \sqrt{2} -\sqrt{5} }\]
OpenStudy (saiyan):
yes
OpenStudy (sohailiftikhar):
\[dude when you will multiply then \sqrt{2}*\sqrt{2} will become 2 and vice versa\]
OpenStudy (danjs):
multiply the fraction by.. \[\frac{ \sqrt{2} + \sqrt{5} }{ \sqrt{2} + \sqrt{5} }\]
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OpenStudy (danjs):
\[(\frac{ \sqrt{2} + \sqrt{5} }{ \sqrt{2} -\sqrt{5} }) * (\frac{ \sqrt{2} + \sqrt{5} }{ \sqrt{2} +\sqrt{5} }) =\]
OpenStudy (danjs):
no more roots in the denominator after that
OpenStudy (sohailiftikhar):
yes
OpenStudy (danjs):
\[=\frac{ 2 + 2\sqrt{2}\sqrt{5} + 5 }{ 2 - 5 }\]
OpenStudy (danjs):
\[=\frac{ 7 + 2\sqrt{2}\sqrt{5} }{ -3 }\]
that about it
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OpenStudy (sohailiftikhar):
yeah!
OpenStudy (saiyan):
so you just multiply the whole equation by the numerator
OpenStudy (danjs):
switch the sign in the denominator
OpenStudy (danjs):
+ to -, or, - to +
OpenStudy (sohailiftikhar):
yes you can but you have to multiply the both sides
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OpenStudy (danjs):
you are just multiplying the fraction by 1
OpenStudy (danjs):
\[\frac{ \sqrt{2} + \sqrt{5} }{ \sqrt{2} + \sqrt{5} }=1\]
OpenStudy (sohailiftikhar):
if you want to remove the numerator then multiply the both sides of equation with it
OpenStudy (saiyan):
\[=7+2\sqrt{2}√5/−3\] is the answer
OpenStudy (sohailiftikhar):
yes
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OpenStudy (saiyan):
ok thx guys
OpenStudy (sohailiftikhar):
no problem dude