Question

Can you help me please?

A student’s work to simplify a radical is shown below. Select the statement which best applies to the sample mathematical work. http://prntscr.com/b5q06o


2.---> http://prntscr.com/b5q13l

Answer 1

Hey there :)

I'm not sure if you've dealt with this at all,
but normally when we take the `even root` of an `even powered x`,
we get a positive and negative case.
\(\large\rm \sqrt{x^2}=|x|=\pm x\)

So while the simplification that was done is not `wrong` per-say,
\(\large\rm \sqrt[6]{x^6}=|x|\)
it is missing a little information.

Answer 2

Let's ignore that for now though,
maybe they don't want us to worry about that.

There is something else going on.

Answer 3

\[\large\rm \sqrt[6]{x^{13}}=x\sqrt[6]{x^7}\]Notice the 7th power?
It's larger than the 6th root,
so we can simplify further.

Answer 4

\[\large\rm \sqrt[6]{x^{13}}\quad=\quad \sqrt[6]{x^6\cdot x^6\cdot x}=x\cdot x\cdot\sqrt[6]{x}\]We can pull a whole nother x out of there.

Answer 5

Okay im writing this down

Answer 6

It's a lot of info,
hopefully it's not too overwhelming :))

Can you pick out the correct answer based on that information?

Answer 7

Im thinking 2. is C ?

Answer 8

C? Yes good job

Answer 9

Thankyou so much!