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Mathematics 8 Online
OpenStudy (diamondboy):

quick question

OpenStudy (diamondboy):

|dw:1442616670655:dw|

OpenStudy (anonymous):

Is that two divided by the square root of one half?

OpenStudy (diamondboy):

yes

OpenStudy (anonymous):

You find the square root of one half which is 0.70710678118

OpenStudy (zzr0ck3r):

\(\dfrac{2}{\sqrt{\frac{1}{2}}}=\dfrac{\sqrt{4}}{\sqrt{\frac{1}{2}}}=\sqrt{\dfrac{4}{\frac{1}{2}}}=\sqrt{4*2}=\sqrt{4}\sqrt{2}=2\sqrt{2}\)

OpenStudy (diamondboy):

God bless u @zzr0ck3r

OpenStudy (anonymous):

lol i tried to give you the decimal response I'm sorry.

OpenStudy (diamondboy):

That works for me because SQRT of 4=2

OpenStudy (diamondboy):

It's ok @TheBallisticOne

OpenStudy (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 \[\frac{ 4\sqrt{2} }{ 2 }=\frac{ \cancel{4}\sqrt{2} }{ \cancel{2}}=2\sqrt{2}\]

OpenStudy (diamondboy):

Thank u @Nnesha

Nnesha (nnesha):

yw :=)

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