Question

Which of the following are possible values of r?

`{r}^(2 ) = (3)/(16)`
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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)`