Question

How do you solve `3g ^ { 2} - 8= 0`?

Answer 1

the answer is `g=+-(2sqrt(2))/(sqrt(3))`

Explanation:

first add `8` to both side and to get rid of `^2`, you have to do the opposite like nay other which is square root. and so you'll get `g=sqrt(8/3)` and you can simplify `8` to `2sqrt(2)` and and `3` can't be simplified so you leave it alone and there you go

Answer 2

`g=(+-2sqrt2)/(sqrt3)`

Explanation:

Given: `3g^2-8=0`.

Add `8` to both sides.

`3g^2-color(red)cancelcolor(black)8+color(red)cancelcolor(black)8=0+8`

`3g^2=8`

Divide by `3` on both sides.

`(color(red)cancelcolor(black)3g^2)/(color(red)cancelcolor(black)3)=8/3`

`g^2=8/3`

Square root both sides to get `g`.

`g=+-sqrt(8/3)`

`=+-(sqrt8)/(sqrt3)`

`=(+-2sqrt2)/(sqrt3)`