Question

8.6 solve radical equations (homework)
score: 9/16 answered: 9/16
question 10
solve.
5\sqrt{n + 9}-3 = 32
n =
question help: written example

Explanation:

Step1: Isolate the radical term

Add 3 to both sides of the equation $5\sqrt{n + 9}-3 = 32$.
$5\sqrt{n + 9}=32 + 3=35$

Step2: Solve for the square - root term

Divide both sides by 5.
$\sqrt{n + 9}=\frac{35}{5}=7$

Step3: Eliminate the square - root

Square both sides of the equation.
$n + 9=7^{2}=49$

Step4: Solve for n

Subtract 9 from both sides.
$n=49 - 9=40$

Answer:

$40$