Question

i need help with cube roots please

Answer 1

I'm here

Answer 2

@StudyGurl14

Answer 3

\[\sqrt[3]{108} \implies 108^{1/3}\]

Answer 4

the first step would be to factor 108 to find something you can simplify in some way.

Answer 5

Automatically, you can see that 108 is divisble by 4, because the last two digits is 08, and 8 is dividible by 4.

Answer 6

So, what is 108 / 4?

Answer 7

\[\sqrt[3]{108} = (108)^{1/3} = (12 \cdot 9)^{1/3} = (4 \cdot 3 \cdot 3^2)^{1/3} = (4 \cdot 3^3)^{1/3}\]

Answer 8

27

Answer 9

That's what it's implying, so to deal with such a problem, we'll stick with inside the "root" \\[\sqrt[3]{108} \implies \sqrt[3]{3^3 \times 4} \implies 3\sqrt[3]{4}\]

Answer 10

Now just distribute the power. \[(4)^{1/3} \cdot (3^3)^{1/3}\]

Answer 11

what do i do with the first numbers in the answers?

Answer 12

\[3^{3 \cdot 1/3} = 3\]

Answer 13

Since you cannot reduce 4 inside a cube root (mainly because it's a perfect square and not a perfect cube) you leave it under the cube root.

Answer 14

so does that mean its b?

Answer 15

haha, yes :)

Answer 16

Precisely.

Answer 17

thanks what does f.b mean

Answer 18

Haha, I was just saying fb, as in facebook because people always do like for like and crap like that :P

Answer 19

lol i dont understand what ur saying