What could be the value of x in the following equation? Select all that apply.
3√(1/8)
1/2
-3√(1/8)
-1/2
What could be the value of x in the following equation? Select all that apply.
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What could be the value of x in the following equation? Select all that apply.
3√(1/8)
1/2
-3√(1/8)
-1/2
To solve the equation 3√(1/8), we first evaluate √(1/8). This can be simplified as follows:
1. Calculate √(1/8):
– We can rewrite 1/8 as (1/2)^3, so √(1/8) can be expressed as √((1/2)^3).
– Therefore, √(1/8) = (1/2)^(3/2) = (1/2)^(1.5) = 1/(2√2).
2. Multiply by 3:
– 3√(1/8) = 3 × (1/2√2) = 3/(2√2).
Now, let’s analyze the options given:
– 1/2: This value is not equal to 3√(1/8).
– -3√(1/8): This value is the negative of 3√(1/8) and is not a solution.
– -1/2: This value is not equal to 3√(1/8) either.
Thus, none of the provided options 1/2, -3√(1/8), and -1/2 are equal to the computed value of 3√(1/8).
The value of x from the equation does not include any of the options provided. If you need to evaluate further or