College Math Placement Test 2025 – 400 Free Practice Questions to Pass the Exam

Question: 1 / 400

What is the simplified form of the radical √(50)?

√25

5√5

5√2

To simplify the radical √(50), we begin by breaking down the number under the square root into its prime factors. The number 50 can be expressed as:

\[ 50 = 25 \times 2 \]

Since 25 is a perfect square (specifically, $ 5^2 $), we can rewrite the square root:

\[ \sqrt{50} = \sqrt{25 \times 2} \]

Using the property of square roots that states $ \sqrt{a \times b} = \sqrt{a} \times \sqrt{b} $, we can separate the square root:

\[ \sqrt{50} = \sqrt{25} \times \sqrt{2} \]

Since $ \sqrt{25} = 5 $, we substitute that value back in:

\[ \sqrt{50} = 5 \times \sqrt{2} \]

Thus, the simplified form of √(50) is $ 5\sqrt{2} $, which corresponds to the correct answer.

In this case, the other options do not accurately represent the simplification of √(50).

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