GCSE Secondary Maths Age 13-17 - Algebra: Surds - Explained

The video tutorial explains how to rationalize the denominator of a fraction by eliminating square roots. It begins with an introduction to the concept, followed by a step-by-step guide on multiplying the numerator and denominator by the square root. The tutorial then demonstrates simplifying the expression to its simplest form and concludes with a discussion on marks allocation for the steps involved.

What does it mean to rationalize the denominator?

• To add a square root to the numerator

• To remove the square root from the denominator

• To multiply the entire fraction by 2

• To divide the numerator by the denominator

What is the first step in rationalizing the denominator?

• Subtracting the square root from the numerator

• Adding a constant to the denominator

• Dividing the numerator by the square root

• Multiplying both the numerator and denominator by the square root

What is the result of multiplying root 5 by root 5?

• 10

• 5

• Root 10

• Root 25

How do you simplify the fraction after rationalizing the denominator?

• By adding 5 to the numerator

• By multiplying the numerator by 5

• By dividing both the numerator and denominator by 5

• By subtracting 5 from the denominator

How many marks are awarded for correctly rationalizing the denominator and simplifying the answer?

• 3 marks

• 4 marks

• 2 marks

• 1 mark