thefluffmuncher
  • thefluffmuncher
Need help to simplfy a squareroot with a fraction in it
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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thefluffmuncher
  • thefluffmuncher
\[\sqrt{\frac{ 20 }{ 7 }}\]
pooja195
  • pooja195
Rationalize it
thefluffmuncher
  • thefluffmuncher
|dw:1434134576438:dw| like this?

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mathmate
  • mathmate
That's a good start!
thefluffmuncher
  • thefluffmuncher
i think what i have to do next is multiply the fraction by is denominator?
pooja195
  • pooja195
yes
thefluffmuncher
  • thefluffmuncher
which is \[\sqrt{7}\]
pooja195
  • pooja195
correct keep going
thefluffmuncher
  • thefluffmuncher
i know that the denominator will turn into 7 but the numerator
pooja195
  • pooja195
\[\huge~\frac{ \sqrt{20} \times \sqrt{7}}{ \sqrt{7}\times \sqrt{7} }\]
pooja195
  • pooja195
20 x 7 =?
thefluffmuncher
  • thefluffmuncher
140
pooja195
  • pooja195
good so the answer is....?
thefluffmuncher
  • thefluffmuncher
i'm guessing you want me to factor 140 in that case it 35*4
thefluffmuncher
  • thefluffmuncher
since you can take the squareroot of 4 it's 2 so the answer is \[2\sqrt{35}\]
thefluffmuncher
  • thefluffmuncher
over 7
thefluffmuncher
  • thefluffmuncher
is that correct?
mathmate
  • mathmate
Yes, but write \(\Large \frac{2\sqrt{35}}{7}\)
thefluffmuncher
  • thefluffmuncher
yea thanks :)
mathmate
  • mathmate
You're welcome! :)

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