Rationalising The Denominator

The video tutorial covers the concept of surds and focuses on rationalizing the denominator. It explains why a denominator should not be irrational and demonstrates how to rationalize it by multiplying both the numerator and denominator by the square root. The tutorial includes examples, from basic to advanced, illustrating the process and techniques like the difference of squares. It emphasizes the importance of showing work in exams and provides practice problems for viewers to solve.

What is the purpose of rationalizing the denominator in a fraction?

• To remove any square roots from the denominator

• To convert the fraction into a decimal

• To add more square roots to the numerator

• To make the fraction larger

When rationalizing the denominator, what operation is performed on both the numerator and the denominator?

• Multiplication

• Division

• Subtraction

• Addition

In the example given, what is the result of rationalizing the fraction 1 over root 2?

• Root 2 over 2

• 1 over 2

• Root 2 over root 2

• 2 over root 2

What mathematical concept is used in the complex example to simplify the expression?

• Difference of two squares

• Sum of cubes

• Pythagorean theorem

• Quadratic formula

After expanding the brackets in the complex example, what is the simplified denominator?

• 11

• 13

• 12

• 10