Question

I;ll post the question down below.

Answer 1

Choose the equivalent value

\[\sqrt[3]{18}\]

(a) \[\sqrt[9]{2}\]
(b) \[\sqrt[3]{2}\]
(c) \[\sqrt[3]{6}\]
(d) \[\sqrt[9]{3}\]

I don't know what to do..

Answer 2

are you sure it is 18 ?
none of your choices are close

Answer 3

yup im sure.

Answer 4

it looks like you typed the question wrong (this is the only way to make sense of it)
there is a BIG difference between
\[ \sqrt[3]{18} \]
and
\[ 3 \sqrt{18} \]

the first means the "cube root of 18"
the second means 3 times the square root of 18

if we go with the 2nd version, write 18 as 3*3*2
\[ 3 \sqrt{3\cdot 3 \cdot 2} \]
"pull out" the pairs of 3's from the square root, and put one of the 3's outside:

\[ 3 \cdot 3\sqrt{ 2} \]
3 times 3 is 9 so this is the same as
\[ 9 \sqrt{2} \]

in your choices you have
\[ \sqrt[9]{2} \]
but if that really means
\[ 3 \sqrt{2} \]
it is the answer

Answer 5

Oh....thanks..

Answer 6

** last line should say
but if that really means
\[ 9 \sqrt{2} \]
it is the answer