Rationalize the denominator with a radical in numerator and denominator

The video tutorial reviews division and simplification, highlighting the importance of simplifying before multiplying. It addresses challenges in dividing when numbers do not divide evenly and explores methods to eliminate roots in denominators. The tutorial explains how to multiply within radicals and concludes with final simplification steps, ensuring a clear understanding of the process.

What is the main challenge when dividing numbers that do not divide evenly?

• Eliminating the denominator

• Multiplying the numerator

• Simplifying the expression

• Finding a common factor

What is one method to simplify an expression with a root in the denominator?

• Divide by the root

• Add a constant to the numerator

• Subtract the root from the numerator

• Multiply by the square root of the denominator

To eliminate a square root in the denominator, what should you multiply by?

• The cube root of the denominator

• The square of the denominator

• The square root of the denominator

• The reciprocal of the denominator

What is the result of multiplying 7 by itself?

• 7

• 49

• 21

• 14

What is the square root of x squared?

• x

• x cubed

• x squared

• 2x