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Need help to simplfy a squareroot with a fraction in it
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\[\sqrt{\frac{ 20 }{ 7 }}\]
Rationalize it
|dw:1434134576438:dw| like this?
That's a good start!
i think what i have to do next is multiply the fraction by is denominator?
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yes
which is \[\sqrt{7}\]
correct keep going
i know that the denominator will turn into 7 but the numerator
\[\huge~\frac{ \sqrt{20} \times \sqrt{7}}{ \sqrt{7}\times \sqrt{7} }\]
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20 x 7 =?
140
good so the answer is....?
i'm guessing you want me to factor 140 in that case it 35*4
since you can take the squareroot of 4 it's 2 so the answer is \[2\sqrt{35}\]
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over 7
is that correct?
Yes, but write \(\Large \frac{2\sqrt{35}}{7}\)
yea thanks :)
You're welcome! :)
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