Question

Please help simplify

Answer 1

\[\frac{ \sqrt{10} }{ \sqrt{14} }\]

Answer 2

HI!

Answer 3

Hello

Answer 4

you can start with
\[\frac{\sqrt5}{\sqrt7}\]if you like

Answer 5

then if you have to rationalize the denominator write
\[\frac{\sqrt5\sqrt7}{\sqrt7\sqrt7}=\frac{\sqrt{35}}{7}\]

Answer 6

I'm doing carnegie and it is telling me I have to multiply by form of 1

Answer 7

what is the form of one @misty1212

Answer 8

lol "form of 1"
i think it means when i multiplied
\[\frac{\sqrt5}{\sqrt7}\times \frac{\sqrt7}{\sqrt7}\] the second part is the "form of 1"

Answer 9

Oh

Answer 10

@danielbarriosr1
If you start with the following identities, everything else will follow:

\(\sqrt{a} \sqrt{b}=\sqrt{ab}\)

\(\dfrac{\sqrt a}{\sqrt b}=\sqrt{\dfrac{a}{b}}\)

Example:
\(\dfrac{\sqrt{25}}{\sqrt{15}}=\sqrt{\dfrac{25}{15}}=\sqrt{\dfrac{5\times 5}{3\times 5}}=\sqrt{\dfrac{5}{3}}\sqrt{\dfrac{5}{5}}=\sqrt{\dfrac{5}{3}}\)

Answer 11

@mathmate so then would it be like @misty1212 said?

Answer 12

Yes, but in addition to that, I would suggest you to be familiar with the two identities, because they can help you simplify things easier!

Answer 13

Oh

Answer 14

I got it

Answer 15

thanks

Answer 16

Good! :)
You're welcome!