Question

solve the equation.\\(sqrt{x + 3}-5 = 3\\)\\(x = ?\\)

Explanation:

Step1: Isolate the square root term

Add 5 to both sides of the equation $\sqrt{x + 3}-5 = 3$ to get $\sqrt{x + 3}=3 + 5$.
Simplifying the right side, we have $\sqrt{x + 3}=8$.

Step2: Eliminate the square root

Square both sides of the equation $\sqrt{x + 3}=8$ to obtain $(\sqrt{x + 3})^2=8^2$.
Simplifying both sides, we get $x + 3 = 64$.

Step3: Solve for x

Subtract 3 from both sides of the equation $x + 3 = 64$: $x=64 - 3$.
Calculating the right side, we find $x = 61$.

Answer:

$x = 61$