Question

1. solve the equation below.

\sqrt{6n - 5} + 1 = 8

Explanation:

Step1: Isolate the radical term

Subtract 1 from both sides:
$\sqrt{6n-5} = 8 - 1$
$\sqrt{6n-5} = 7$

Step2: Eliminate the square root

Square both sides of the equation:
$(\sqrt{6n-5})^2 = 7^2$
$6n - 5 = 49$

Step3: Isolate the variable term

Add 5 to both sides:
$6n = 49 + 5$
$6n = 54$

Step4: Solve for n

Divide both sides by 6:
$n = \frac{54}{6}$
$n = 9$

Answer:

$n=9$