Simplifying Expressions with Square Roots

The video tutorial explains how to simplify the expression 3 times the square root of 200x to the third. It begins by factoring 200 and rewriting the expression under a single radical sign. The instructor then breaks down the expression into simpler parts, evaluates the square roots of individual terms, and finally combines the results to achieve the simplest form of the expression, which is 30x times the square root of 2x.

What is the first step in simplifying 3 times the square root of 200x to the third?

• Add 100 to 200

• Divide 200 by 3

• Factor out 200

• Multiply by x

How can 200 be expressed in terms of its factors?

• 10 times 20

• 4 times 50

• 2 times 100

• 2 times 50

What is the equivalent expression for x to the third?

• x to the fourth

• x squared times x

• x times x times x

• x plus x squared

What is the purpose of rewriting the expression under a single radical sign?

• To simplify the expression

• To make it more complex

• To factor out x

• To change the base

What is the square root of 100?

• 5

• 20

• 10

• 15

What is the result of taking the square root of x squared?

• x squared

• 2x

• x

• x cubed

Which terms cannot be simplified further in the expression?

• Square root of 100

• Square root of x squared

• Square root of 2 and square root of x

• Square root of 200

What is the simplified form of 3 times 10 times x?

• 30x

• 30

• 3x

• 10x

How can the square root of 2 times the square root of x be expressed?

• Square root of 2x

• 2 times x

• Square root of 2 divided by x

• Square root of 2 plus x

What is the final simplified expression?

• 30x times the square root of 2

• 30x times the square root of 2x

• 3x times the square root of 2x

• 30 times the square root of x