Step 1: Simplify square roots within the expression: \( \sqrt{312} + \sqrt{53} - \sqrt{24} - \sqrt[3]{3} \)
Step 2: Evaluate the square roots: \( 3\sqrt{2\cdot2\cdot3} + 5\sqrt{3} - \sqrt[3]{2\cdot2\cdot2\cdot3} \)
Step 3: Simplify the square root expression further: \( 3\sqrt{12} + 5\sqrt{3} - \sqrt[3]{24} \)
Step 4: Simplify the square root of 12: \( 3\sqrt{4\cdot3} + 5\sqrt{3} - \sqrt[3]{24} \)
Step 5: Simplify the square root and cube root expressions: \( 3\cdot2\sqrt{3} + 5\sqrt{3} - \sqrt[3]{2\cdot2\cdot2\cdot3} \)
Note: The response area is left blank as it may vary depending on the level of simplification desired.
Put the steps in order used to simplify the following. Not all options will be used.
312−−√+53–√−24−−√3
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Step 5: Response area
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