spencer180115
spencer180115 spencer180115
  • 12-04-2018
  • Mathematics
contestada

please help!
I know it's probably simple, but I don't understand...

please helpI know its probably simple but I dont understand class=

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sqdancefan
sqdancefan sqdancefan
  • 12-04-2018
For the reciprocal, you swap numerator and denominator.

a. The reciprocal of [tex]\frac{\sqrt{2}}{2}[/tex] is [tex]\frac{2}{\sqrt{2}}[/tex]
To rationalize the irrational denominator, multiply numerator and denominator by the radical, then simplify.
[tex]=\frac{2 \times \sqrt{2}}{\sqrt{2} \times \sqrt{2}} = \frac{2 \sqrt{2}}{2} = \sqrt{2}[/tex]

b. [tex]\frac{-2}{\sqrt{3}} = \frac{-2 \sqrt{3}}{3}[/tex]
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