How to rationalize the denominator with a radical

The video tutorial covers division concepts, starting with simple division (4/2) and moving to more complex scenarios involving irrational numbers like sqrt 2. It explains why dividing by an irrational number is problematic and introduces the concept of rationalizing the denominator to simplify expressions. The tutorial further breaks down radicals into simpler components, providing a step-by-step approach to handling complex mathematical expressions.

Why is it problematic to have an irrational number in the denominator of a fraction?

• It makes the fraction equal to zero.

• It makes the fraction undefined.

• It complicates the calculation process.

• It results in a negative number.

What is the first step in rationalizing the denominator of a fraction with a square root?

• Add the square root to the numerator.

• Multiply the numerator and denominator by the square root.

• Subtract the square root from the denominator.

• Divide the numerator by the square root.

What is the result of multiplying the square root of 2 by itself?

• 1

• 2

• 4

• Square root of 4

How can the expression 'radical 24' be simplified?

• As the square root of 8

• As the square root of 4 times the square root of 6

• As the square root of 6

• As the square root of 12

What is the final simplified form of the expression discussed in the video?

• 6 radical 6

• 8 radical 6

• 4 radical 6

• 2 radical 6