Multiple Choice
Simplify the radical.
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0. Fundamental Concepts of Algebra
Simplifying Radical Expressions
Multiple Choice
Simplify the radical.
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Verified step by step guidance1
Identify the expression that needs simplification: \( 75\sqrt{75} \).
Break down \( \sqrt{75} \) into its prime factors: \( 75 = 3 \times 5^2 \).
Simplify \( \sqrt{75} \) by taking the square root of the perfect square factor: \( \sqrt{75} = \sqrt{3 \times 5^2} = 5\sqrt{3} \).
Multiply the simplified radical by the coefficient outside the radical: \( 75 \times 5\sqrt{3} = 375\sqrt{3} \).
Compare the simplified expression \( 375\sqrt{3} \) with the given options to determine the correct answer.
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