ANSWER
D. x=55
EXPLANATION
The given radical equation is
[tex] \sqrt{x - 6} + 3 = 10[/tex]
Add -3 to both sides
[tex] \sqrt{x - 6} = 10 - 3[/tex]
[tex] \sqrt{x - 6} =7[/tex]
Square both sides.
[tex] { (\sqrt{x - 6})}^{2} = {7}^{2} [/tex]
[tex]x - 6 = 49[/tex]
Solve for x to get:
[tex]x = 49 + 6 = 55[/tex]
