Answer
no solution
Work Step by Step
$\bf{\text{Solution Outline:}}$
To solve the given radical equation, $
\sqrt{4r+3}+1=0
,$ use the properties of equality to isolate the radical expression. Then ensure that the other side of the equation is a non negative number.
$\bf{\text{Solution Details:}}$
Using the properties of equality, the given equation is equivalent to
\begin{array}{l}\require{cancel}
\sqrt{4r+3}=-1
.\end{array}
The left side of the equation is always a non negative number. This will never be equal to the negative number at the right. Hence, there is $\text{
no solution
.}$