Question

Which choice is equivalent to the quotient below when -2<=x<2

Answer 1

The choice which is equivalent to; √(4-x²)/√(2-x) is; √(2-x).

Which choice is equivalent to the quotient?

According to the task content, it follows that the expression whose equivalent is to be determined can be evaluated as follows;

√(4-x²)/√(2-x) = √(4-x²)/(2-x)

Hence, the numerator can be evaluated by difference of two squares where;

(4-x²) = (2-x)(2+x)

Hence; we have; √(2-x)(2+x)/(2-x) = √(2-x).

Read more on difference of two squares;

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