square root 9v+7=5

(16/25)- 3/2 negative 3/2 is an exponent

√(9v+7) = 5

9v+7 = 25
9v = 18
v = 2

To solve the equation √(9v + 7) = 5, we'll need to isolate the variable v.

Here's the step-by-step solution:

1. Start by squaring both sides of the equation to eliminate the square root:
(√(9v + 7))^2 = 5^2
9v + 7 = 25

2. Now, subtract 7 from both sides of the equation:
9v + 7 - 7 = 25 - 7
9v = 18

3. Divide both sides of the equation by 9 to solve for v:
(9v)/9 = 18/9
v = 2

Therefore, the solution to the equation √(9v + 7) = 5 is v = 2.