Example

Simplify the radical expression 6the square root of x cubed – the square root of the quantity 8 times x cubed + xthe square root of the quantity 2 times x.

Step 1: Simplify each radical expression, if possible.

Can 6the square root of x cubed be simplified
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Can the square root of 8 times x cubed be simplified
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Can xthe square root of the quantity 2 times x end quantity be simplified
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Step 2: Identify like terms.

What are the like terms of 6xthe square root of x – 2xthe square root of the quantity 2 times x end quantity + xthe square root of the quantity 2 times x end quantity
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Step 3: Combine the numbers and/or variables outside the like radicals from left to right.

What is the expression in simplest form
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