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put this solution on YOUR website!(x+5)^3/2 = 8
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First, square both sides that gets rid of the denominator in the exponent
[(x+5)^3/2]^2 = 8^2
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(x+5)^3 = 64
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Find the cube root of both sides, (4 is the cube root of 64)
x + 5 = 4
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x = 4 - 5
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x = -1
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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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