Which of the following are possible values of r? {r}^(2 ) = (3)/(16) ​

Question

Which of the following are possible values of r?

`{r}^(2 ) = (3)/(16)`
​

Answer 1

`r=(√(3) )/(4)` and
`r=-(√(3) )/(4)`

Explanation:

when you solve for r in the given equation, you need to apply the square root property, which gives positive and negative answers (both should therefore be considered):

`r^2=(3)/(16) \\r=+/-\sqrt{(3)/(16)} \\r=+/-(√(3) )/(4)`

then you need to include these two possible solutions:

`r=(√(3) )/(4)` and
`r=-(√(3) )/(4)`