Question

How do you solve?: cube sqrt 27

Answer 1

this is what the problem looks like.

Answer 2

@Nnesha do you know how to solve this one?

Answer 3

i would use a calculator cuz im not good at cube roots :/

Answer 4

i just need to know how to do it on paper

Answer 5

sorry :( idk

Answer 6

you don't need a calculator

Answer 7

I know. That is what im trying to figure out, how to solve without one

Answer 8

For example, a "Cube root of 8"
\(\large\color{slate}{ \sqrt[\color{rd}{3}]{8} }\).

There is some \(\large\color{slate}{ {\rm k} }\) that you can multiply three times itself to get 8.
\(\large\color{slate}{ ( }\)such that: \(\large\color{slate}{ {\rm k}\times {\rm k}\times{\rm k}=8 }\) \(\large\color{slate}{ ) }\)

In this case, you know that 8 is divisible by 2, and when you divide 8 by 2 you get 4. So lets write this.
\(\large\color{slate}{ 8=4\times2 }\)
now, lets divide 4 by 2, you know that 4 is same as 2 times 2, so:
\(\large\color{slate}{ 8=2\times 2\times2 }\)

So, this number \(\large\color{slate}{ {\rm k} }\) in ouyr case is \(\large\color{slate}{ 2 }\).
Therefore, \(\large\color{slate}{ \sqrt[\color{rd}{3}]{8} =2 }\)

Answer 9

WELCOME TO OPENSTUDY!!!!

Answer 10

Great thanks so much

Answer 11

but in your case you need to find this "k" for 27.

Answer 12

what is 27 divisble by?

Answer 13

9

Answer 14

9?

Answer 15

yes.

Answer 16

\(\large\color{slate}{ 27=9\times 3 }\).
but can you reduce the 9?

Answer 17

cube sqrt 27=9 correct?

Answer 18

9 is a product of which 2 numbers?