Find the value of

Correct option is D

We need to evaluate the expression:

Step 1: Solve the Nested Radical Part

Let:      

Since the nested radical continues infinitely, we can rewrite it as:

Solve for x

Squaring both sides:

Rearrange: 

Step 3: Solve the Quadratic Equation

The quadratic equation: 

can be factored as:   (x−3)(x+2)=0

Setting each factor to zero:    x − 3 = 0 => x = 3 

                                                 x + 2 = 0 => x = −2

Since xrepresents a square root, it must be non-negative. Thus, we take:

      x = 3

Add 6 to the Result

Now, we compute:

6 + x = 9      

6+ 3 = 9