GCSE Maths - How to Rationalise the Denominator of a Surd (Part 3/3) #42

The video tutorial explains how to rationalize the denominator of fractions, which involves converting the denominator into a rational number. It covers the process for both single-term and two-term denominators, including changing signs and multiplying by conjugates. Examples are provided to illustrate the steps, ensuring the final result is in a simplified form without surds in the denominator.

What is the main goal of rationalizing the denominator?

• To make the numerator a whole number

• To simplify the entire fraction to zero

• To make the denominator a rational number

• To eliminate fractions from the expression

How do you rationalize a fraction with a single surd in the denominator, like 4 over root 5?

• Subtract the surd from the denominator

• Multiply both the numerator and denominator by the surd

• Add the surd to both the numerator and denominator

• Multiply by the reciprocal of the numerator

When rationalizing a denominator with two terms, such as 7 over 2 plus root 3, what is an important step?

• Multiply by the same denominator without changing the sign

• Add a surd to the numerator

• Change the sign of the surd in the denominator

• Divide the numerator by the surd

What happens to the surds in the denominator when rationalizing 7 over 2 plus root 3?

• They are added together

• They cancel each other out

• They remain unchanged

• They are multiplied

What is the result of rationalizing the denominator of 6 over root 3?

• 2 root 3

• 3 root 2

• 6 root 3

• Root 3 over 2

In the expression 7 plus root 5 over root 5 minus 1, what form should the final answer be in?

• a plus b root 5

• a minus b root 5

• a times b root 5

• a divided by b root 5

What is the simplified form of 7 plus root 5 over root 5 minus 1 after rationalizing the denominator?

• 5 plus 2 root 5

• 3 plus 2 root 5

• 4 plus 3 root 5

• 2 plus 3 root 5