Question

Find the value of 10sqrt2 divided by sqrt5

Answer 1

I think its 6.32, but not quite sure. Is this right anyone?

Answer 2

The answers for the question are :
A: 2
B: 2sqrt5
C: 2sqrt10
D:2/5sqrt10

Answer 3

oh then I don't know. Sorry

Answer 4

The idea is to rationalize the denominator by multiplying both top and bottom by \(\Large \sqrt{5}\)

\[\Large \frac{10\sqrt{2}}{\sqrt{5}}\]

\[\Large \frac{10\sqrt{2}*\sqrt{5}}{\sqrt{5}*\sqrt{5}}\]

\[\Large \frac{10\sqrt{2*5}}{\sqrt{5*5}}\]

\[\Large \frac{10\sqrt{10}}{\sqrt{25}}\]

\[\Large \frac{10\sqrt{10}}{\sqrt{5^2}}\]

\[\Large \frac{10\sqrt{10}}{5}\]

\[\Large \frac{5*2\sqrt{10}}{5}\]

\[\Large \frac{1*2\sqrt{10}}{1}\]

\[\Large 2\sqrt{10}\]

So \[\Large \frac{10\sqrt{2}}{\sqrt{5}}=2\sqrt{10}\]

Answer 5

How did you go from 5*2sqrt10/5 to 1*2sqrt10/1??
Sorry, really bad at math...

Answer 6

That's ok

Answer 7

I canceled out the two '5' terms like so

\[\Large \frac{5*2\sqrt{10}}{5}\]

\[\Large \frac{\cancel{5}*2\sqrt{10}}{\cancel{5}}\]

\[\Large \frac{1*2\sqrt{10}}{1}\]

Answer 8

They cancel out since 5/5 = 1

Answer 9

Ohhh, okayy Now I understand. Thank you :)

Answer 10

you're welcome

Answer 11

Wait I just want to make sure I'm right on this next one...
4sqrt(8)/aqrt(2) = 8... right?

Answer 12

you are correct

Answer 13

nice work

Answer 14

Yay! Thank you! :)

Answer 15

np