diamondboy
  • diamondboy
quick question
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
diamondboy
  • diamondboy
|dw:1442616670655:dw|
anonymous
  • anonymous
Is that two divided by the square root of one half?
diamondboy
  • diamondboy
yes

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anonymous
  • anonymous
You find the square root of one half which is 0.70710678118
zzr0ck3r
  • zzr0ck3r
\(\dfrac{2}{\sqrt{\frac{1}{2}}}=\dfrac{\sqrt{4}}{\sqrt{\frac{1}{2}}}=\sqrt{\dfrac{4}{\frac{1}{2}}}=\sqrt{4*2}=\sqrt{4}\sqrt{2}=2\sqrt{2}\)
diamondboy
  • diamondboy
God bless u @zzr0ck3r
anonymous
  • anonymous
lol i tried to give you the decimal response I'm sorry.
diamondboy
  • diamondboy
That works for me because SQRT of 4=2
diamondboy
  • diamondboy
It's ok @TheBallisticOne
diamondboy
  • diamondboy
I was about to ask u if I didn't have a calc how could i solve it
Nnesha
  • Nnesha
or multiply top and bottom with the denominator since we can't leave the radical sign at the denominator \[\huge\rm \frac{ 2 }{ \sqrt{\frac{1}{2}} } \times \frac{ \sqrt{\frac{1}{2}} }{\sqrt{\frac{1}{2}} } =\frac{ 2\sqrt{\frac{1}{2}} }{\frac{1}{2} }\] multiply top with the reciprocal of the denominator \[ 2\sqrt{\frac{1}{2} } \times 2 = 4 \sqrt{\frac{1}{2}} \] \[ \sqrt{\frac{a}{b}} =\frac{ \sqrt{a} }{ \sqrt{b} }\] so\[ \frac{ 4\sqrt{1} }{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} }\] once again multiply top and bottom with the denominator \[\frac{ 4\sqrt{2} }{ 2 }=\frac{ \cancel{4}\sqrt{2} }{ \cancel{2}}=2\sqrt{2}\]
diamondboy
  • diamondboy
Thank u @Nnesha
Nnesha
  • Nnesha
yw :=)

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