The complete statement is no matter what the value of s, √s² is equal to the absolute value of s?
The statement is given as:
No matter what the value of s, √s² is equal to the ______ value of s?
The above statement can be split as follows:
This means that, irrespective of the value of s, what would be the value of the square root of the square of s.
Assume that s is negative (say s = -2), the value of the square root of the square of s would be
√s² = √(-2)²
Evaluate the square
√s² = √4
Evaluate the square root
√s² = 2
See that s = 2 is the positive equivalent or absolute value of s = -2
Now, assume that s is positive (say s = 4), the value of the square root of the square of s would be
√s² = √4²
Evaluate the square
√s² = √16
Evaluate the square root
√s² = 4
See that s = 4 is the positive equivalent or absolute value of s = 4
Hence, the complete statement is no matter what the value of s, √s² is equal to the absolute value of s?
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Complete question
No matter what the value of s, √s² is equal to the ______ value of s?
