Respuesta :

ToastedMiso

Answer:

D. 33

Step-by-step explanation:

√(x-8) + 2 = 7

subtract 2 from both sides

√(x-8)  = 5

square both sides

(√(x-8))²  = 5²

x-8 = 25

add 8 to both sides

x = 33

kudzordzifrancis

ANSWER

D. 33

EXPLANATION

The given radical equation is

[tex] \sqrt{x - 8} + 2 = 7[/tex]

Group similar terms,

[tex]\sqrt{x - 8} = 7 - 2[/tex]

[tex]\sqrt{x - 8} = 5[/tex]

Square both sides:

[tex] {(\sqrt{x - 8})}^{2} = {5}^{2} [/tex]

Simplify

[tex]x - 8 = 25[/tex]

Solve for x

[tex]x = 25 + 8 = 3[/tex]