Step 1a

First, square both sides of the given equation to eliminate the isolated radical, then simplify the resulting equation:

Explanation: First, the given equation is square on both sides to eliminate the isolated radical, and then simplify the equation is \$ 1 = \sqrt(v - 1)\$.

Step 1b

Square both sides again to eliminate the remaining radical:

\$ 1^2 = \sqrt(v -1)^2\$

1 = v - 1
v = 1 + 1
v = 2

Explanation: Square both sides again to remove the remaining radical, then solve for v, which equals 2.

Step 1c

Verify the solution by substituting back into the original equation:

\$ \sqrt( 2 + 2) + \sqrt ( 2 - 1) = 3\$

\$\sqrt(4) + sqrt(1) = 3\$

2 + 1 = 3
3 = 3

The solution v = 2 satisfies the original equation.

Explanation: Verify the solution by substituting it back into the original equation. Thus, v = 2 satisfies the equation.