Question

How can (2√13)/13 be simplified to 2/√13 ?

Answer 1

Can you write it using the equation editor.

Answer 2

\[ \frac{2\sqrt{13} }{ 13 } \to \frac{ 2 }{\sqrt{13} ? }\]

Answer 3

I know they both equal the same thing when calculated..

Answer 4

Gee. I'm actually stumped on this one

Answer 5

Same here, at first I thought the answer manual made a mistake, until I checked to see that they actually equal the same thing

Answer 6

You broke math.

Answer 7

lol

Answer 8

\(\bf \cfrac{2\sqrt{13} }{ 13 } \times \cfrac{\sqrt{13}}{\sqrt{13}} \implies \cfrac{2\sqrt{13}\sqrt{13}}{13\sqrt{13}} \implies \cfrac{2\sqrt{13^2}}{13\sqrt{13}} \implies \cfrac{2\times \cancel{13}}{\cancel{13}\sqrt{13}}\)

Answer 9

Thanks! That really explains it well :)

Answer 10

It works swell when you do it that way. But you're changing the value by adding this things.

Answer 11

Alle von dem

Answer 12

well, keep in mind that \(\bf \cfrac{\sqrt{13}}{\sqrt{13}} = 1\)
so all I really did was multiply by 1, which isn't chaning the value

Answer 13

1,000,000 times 1 = 1,000,000

Answer 14

But you're putting those things there to cancel them, If it equals one, then do the same thing with just 1, and not use the 13/13/. You'll find that it doesn't work. I'm saying that this is a fault in mathematics, things like this, because they're not consistent with their exact equals. So it doesn't work. We just accept these things as true and move on.

Answer 15

heheh, well, it doesn't change the value, one can say that \(\bf \cfrac{2\sqrt{13} }{ 13 }\) was really obtained the same way from \(\bf \cfrac{2}{\sqrt{13}}\)
btw \(\bf \cfrac{2\sqrt{13} }{ 13 } = 0.554700196\\
\bf \cfrac{2}{\sqrt{13}} = 0.554700196\)

Answer 16

there's only 1 discrepancy in the whole thing, which is fairly understood when using it, and is when the domain is relevant, but in this case it isn't