Question

Which expression is the simplified form of the square root 338 times w to the eighteenth power.?
13w3the square root 2 times w.
2w9the square root 13 times w.
2w3the square root 13 times w.
13w9the square root of 2.

Answer 1

how many times does 2 go in to 18 ?

Answer 2

i.e. what is \(18\div 2\) ?

Answer 3

this is the easy part, the hard part is finding \(\sqrt{338}\)

Answer 4

9

Answer 5

ok so \(\sqrt{w^{18}}=w^9\) is a start

Answer 6

as for \(\sqrt{338}\) it turns out that \(338=13\times 13\times 2\) or \(13^2\times 2\)
that means
\[\sqrt{338}=\sqrt{13^2\times 2}=\sqrt{13^2}\sqrt{2}=13\sqrt{2}\]

Answer 7

giving you a final answer of \(13w^9\sqrt{2}\)

Answer 8

which i hope is one of your choices

Answer 9

so a

Answer 10

no

Answer 11

then what ?

Answer 12

looks like A is \(13w^3\sqrt{2}\) which is not right

Answer 13

find the one that looks like \(13w^9\sqrt{2}\)

Answer 14

d

Answer 15

okay pick that one

Answer 16

thanks