Put the steps in order used to simplify the following. Not all options will be used.
312−−√+53–√−24−−√3
Step 1: Response area
Step 2: Response area
Step 3: Response area
Step 4: Response area
Step 5: Response area
The option "\(3\sqrt{2\cdot2\cdot3}\ +5\sqrt{3}-\sqrt[3]{2\cdot2\cdot2\cdot3}\)" (3 of 9) has been selected. Press tab to choose a response area, and spacebar to insert it. Press escape to cancel.
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.