College

Which choice is equivalent to the expression below?

\(\sqrt{50} - \sqrt{2}\)

A. 4.2
B. 5
C. \(\frac{24}{2}\)
D. \(\sqrt{48}\)

Answer :

Final answer:

The equivalent expression to √50 - √2 is 4√2.


Explanation:

To find an equivalent expression to √50 - √2, we can simplify each square root separately.

The square root of 50 can be written as the square root of 25 times 2, which simplifies to 5√2.

The square root of 2 remains as the square root of 2.

Therefore, the equivalent expression is 5√2 - √2. Combining like terms, we get (5 - 1)√2 which simplifies to 4√2.

So, the choice equivalent to the expression is OA. 4,2.


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