Saiyan
  • 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.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Saiyan
  • Saiyan
Anyone help plz.
sohailiftikhar
  • sohailiftikhar
Do mean that \[\sqrt{2}+\sqrt{5}\div \sqrt{2}-\sqrt{5}\]
Saiyan
  • Saiyan
yes

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

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