Math  /  Algebra

Question Which 2536\frac{\sqrt{25}}{\sqrt{36}} is equivalent? A. 2536\sqrt{\frac{25}{36}} B. 2536\frac{25}{36} C. 253363\frac{\sqrt[3]{25}}{\sqrt[3]{36}} D. 56\frac{\sqrt{5}}{\sqrt{6}}

Studdy Solution
Now, let's compare the simplified expression with the given options.
Option A: 2536\sqrt{\frac{25}{36}} is equivalent to 2536\frac{\sqrt{25}}{\sqrt{36}} according to the property of square roots.
Option B: 2536\frac{25}{36} is not equivalent to 56\frac{5}{6} as the square root operation has not been applied.
Option C: 253363\frac{\sqrt[3]{25}}{\sqrt[3]{36}} is not equivalent to 56\frac{5}{6} as the cube root operation is not the same as the square root operation.
Option D: 56\frac{\sqrt{5}}{\sqrt{6}} is not equivalent to 56\frac{5}{6} as the square root operation has not been applied to the numbers 5 and 6.
Therefore, the answer is option A: 2536\sqrt{\frac{25}{36}}.

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