College

Which choice is equivalent to the expression below?

\(\sqrt{32} - \sqrt{2}\)

A. 16 - 2

B. \(3\sqrt{2}\)

C. 4

D. 30

Answer :

Final answer:

To simplify the expression √32 - √2, evaluate both square roots separately and combine like terms to get 3√2.


Explanation:

To simplify the expression √32 - √2, we need to evaluate both square roots separately. √32 can be simplified as √(16 * 2), which becomes √16 * √2. Since the square root of 16 is 4, we have 4√2. Similarly, √2 remains the same. So the expression √32 - √2 is equivalent to 4√2 - √2. Combining like terms, we get 3√2.


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