Algebra 2 plz help me solve

Question

(x+1over3)²=8

Answer 1

The way the student wrote the question made me wonder about the student's intention.

It is possible the problem should have been written as [(x+1)/3]² = 8

If that was the student's intention, which it may or may not have been, the solution would be

Square root both sides.

(x+1)/3= ± 2 √2

Multiply both sides by 3 to clear the fraction

x+1 = ± 6 √2

x= -1 ± 6 √2

Answer 2

(x + 1/3)² = 8

x + 1/3 = ±2√2

x = -1/3 ± 2√2