Anguyennn
  • Anguyennn
Hello could I get some help with evaluating 2√5/√7
Mathematics
jamiebookeater
  • jamiebookeater
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kittiwitti1
  • kittiwitti1
\[2\sqrt{5}\sqrt{7}\text{ or }2\sqrt{5\sqrt{7}}?\]
Anguyennn
  • Anguyennn
none of those
Anguyennn
  • Anguyennn
here ill draw it out for you

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Anguyennn
  • Anguyennn
|dw:1442638593539:dw|
Anguyennn
  • Anguyennn
I want to know how to do it
Anguyennn
  • Anguyennn
algebraically
triciaal
  • triciaal
|dw:1442646154332:dw|
triciaal
  • triciaal
rationalize the denominator to get rid of the radical in the denominator. means multiply by one expressed as shown square root of a number * square root of a number = that number
UnkleRhaukus
  • UnkleRhaukus
@triciaal is right \[\frac{2\sqrt 5}{√7}\\ =\frac{2\sqrt 5}{√7}\times1\\ \frac{2\sqrt 5}{√7}\times\frac{\sqrt7}{\sqrt7}\\ \frac{2\sqrt 5\times\sqrt7}{√7\times\sqrt7}\\ =\tfrac27\sqrt5\sqrt7\]
triciaal
  • triciaal
I would end at (2 root 35)/7 to have only one radical

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