Question

I dont understand how to do this equation

Answer 1

\[\frac{ \sqrt{11} }{ 5\sqrt{132} }\]

Answer 2

im stuck i have \[\frac{ \sqrt{11} }{ 10\sqrt{33} }\]

Answer 3

33 = 11*3, right?

Answer 4

yes

Answer 5

So the denominator could be simplified some more

Answer 6

\[10\sqrt{3*11} = 10\sqrt{3}\sqrt{11}\]
and then you can cancel the \[\sqrt{11}\] top and bottom.

Answer 7

so if the top and bottom square roots are the same i can cancel them right? it like \[\frac{ 3 }{ 3 }\] =1

Answer 8

Yes, exactly. So what is the final result?

Answer 9

the answer is \[10\sqrt{3}\]

Answer 10

Close, but no cigar.

Answer 11

That's the final denominator

Answer 12

but isn't the numerator canceled?

Answer 13

When you cancel the term from top and bottom, you are dividing both top and bottom by the term you cancel. The numerator (top) was \[\sqrt{11}\] but you are dividing it by that same value. You have
\[\frac{\sqrt{11}/\sqrt{11}}{10\sqrt{3}\sqrt{11}/\sqrt{11}} = \frac{1}{10\sqrt{3}}\]

Answer 14

Think of \[\frac{2}{8}\] which you could write as \[\frac{2}{2*2*2}\]
just because the 2 in the numerator cancels out a 2 in the denominator doesn't make the answer 4, does it?

Answer 15

okay I just checked the answer for this question in the book and it says \[\frac{ \sqrt{3} }{ 30 }\]

Answer 16

Okay, what happens if you multiply my answer by \[\frac{\sqrt{3}}{\sqrt{3}}\]?

Answer 17

oh wow its\[\frac{ \sqrt{3} }{ 30 }\]

Answer 18

Thnx for the help very much

Answer 19

You're welcome!