The video tutorial explains how to simplify a radical expression, specifically 5 divided by the square root of 8. It begins by discussing the properties of square roots and the challenges of dividing by irrational numbers. The tutorial then demonstrates how to rationalize the denominator by multiplying the numerator and denominator by the square root of 8, resulting in a simplified expression. The process ensures that the denominator is no longer irrational, making the expression easier to work with.

What is the approximate value of the square root of 8?

• 3.5

• 3.1

• 2.8284

• 2.5

Why can't we divide a number by an irrational number?

• Because it results in an irrational number

• Because it results in a zero

• Because it results in a negative number

• Because it results in a complex number

What is the process called when we eliminate the square root from the denominator?

• Dividing the denominator

• Squaring the numerator

• Rationalizing the denominator

• Simplifying the numerator

What do you multiply by to rationalize the denominator of 5 divided by sqrt 8?

• 5

• 8

• sqrt 4

• sqrt 8

After rationalizing the denominator, what is the simplified form of 5 divided by sqrt 8?

• 5/8

• 5*sqrt 4/8

• 5*sqrt 8/8

• 5/sqrt 8