SOLUTION: Can you please help me with this equation? (x+5)^ 3/2 = 8

Question 123142This question is from textbook College Algebra Essentials
: Can you please help me with this equation?
(x+5)^ 3/2 = 8 This question is from textbook College Algebra Essentials

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
(x+5)^3/2 = 8
:
First, square both sides that gets rid of the denominator in the exponent
[(x+5)^3/2]^2 = 8^2
:
(x+5)^3 = 64
:
Find the cube root of both sides, (4 is the cube root of 64)
x + 5 = 4
:
x = 4 - 5
:
x = -1
:
:
Check solution in original equation, substitute -1 for x
(-1+5)^ 3/2 = 8
4^(3/2) = 8
Find the cube of 4 which is 64, then find the square root of 64
8 = 8
;
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