Ask your own question, for FREE!
Mathematics 17 Online
OpenStudy (thefluffmuncher):

Need help to simplfy a squareroot with a fraction in it

OpenStudy (thefluffmuncher):

\[\sqrt{\frac{ 20 }{ 7 }}\]

pooja195 (pooja195):

Rationalize it

OpenStudy (thefluffmuncher):

|dw:1434134576438:dw| like this?

OpenStudy (mathmate):

That's a good start!

OpenStudy (thefluffmuncher):

i think what i have to do next is multiply the fraction by is denominator?

pooja195 (pooja195):

yes

OpenStudy (thefluffmuncher):

which is \[\sqrt{7}\]

pooja195 (pooja195):

correct keep going

OpenStudy (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 =?

OpenStudy (thefluffmuncher):

140

pooja195 (pooja195):

good so the answer is....?

OpenStudy (thefluffmuncher):

i'm guessing you want me to factor 140 in that case it 35*4

OpenStudy (thefluffmuncher):

since you can take the squareroot of 4 it's 2 so the answer is \[2\sqrt{35}\]

OpenStudy (thefluffmuncher):

over 7

OpenStudy (thefluffmuncher):

is that correct?

OpenStudy (mathmate):

Yes, but write \(\Large \frac{2\sqrt{35}}{7}\)

OpenStudy (thefluffmuncher):

yea thanks :)

OpenStudy (mathmate):

You're welcome! :)

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!