Question

I am confused with dividing square roots, I have a problem with it and I want to know if there is anyone can clear it up and show me how to divide square roots.

Answer 1

Can someone explain how to divide square roots?

Answer 2

Generally you don't want square roots in your equation, but if you do have square roots the you can use the following property:

\[\sqrt{2}=2^{\frac{ 1 }{ 2 }}\]

Answer 3

I don't get it, =\

Answer 4

can you explain it better

Answer 5

because i am still in confusion.

Answer 6

\[\huge \sqrt[\color{red}{2}]{9}\]You see the small little red 2 ontop of the square root?

Answer 7

yes

Answer 8

\[\frac{ \sqrt{2} }{ \sqrt{2} }=\sqrt{\frac{ 2 }{ 2 }}=\sqrt{1}\]

Answer 9

you can also use this property

Answer 10

It tells you not only how many of the similar pairs you can extract from the square root, it also tells you to what power the number inside is at.

Answer 11

so think of \(9\) as a value of x. (x usually represents a number value). m is any power of the number inside, and # is just like that little red two from the previous post. We can state that \[\huge \sqrt[\#]{x^m} = (x)^{m/ \#}\]

Answer 12

This is the general format of writing square roots as fractional powers.

Answer 13

Are you somewhat understanding it?

Answer 14

somewhat

Answer 15

So now we can take our \(\sqrt{9}\). \[\huge \sqrt[2]{9^1} = (9)^{1/2}\] Do you see how this works?

Answer 16

Just like the general format we stated above!

Answer 17

oh ok, yeah get it better, thank you

Answer 18

Yeah? :) So let's see an example!

Answer 19

You had one posted earlier but you removed it :(

Answer 20

umm.. example, i am not ready for an example though =3

Answer 21

i would post the example but am not ready for one

Answer 22

Ahh, ok. then I will give you one! you tell me how to write it as a fraction, and write the fraction ones as square roots!

Answer 23

im not sure i can do it

Answer 24

=(

Answer 25

So first question you ask yourself, "what is the power ontop of the square root sign?"

Answer 26

We just talked about this! I believe you can do it :)

Answer 27

3 to 5th power, would that be how im supposed to answer??

Answer 28

struggling

Answer 29

no no, what is the power ontop of the square root?

Answer 30

\(3^5\) is partially right, you are almost there :)

We have to take it one step at a time!

Answer 31

?the 5th power?

Answer 32

or something

Answer 33

nice explanation jhanny!

Answer 34

Remember, ALWAYS REMEMBER THIS. the base POWER of a square root is ALWAYS ALWAYS ALWAYS 2!