GCSE Maths - What on Earth are Surds??? And How do You Simplify Them? (Part 1/3) #40

The video tutorial explains the concept of surds, which are irrational roots of rational numbers. It covers the importance of knowing square numbers to simplify surds and demonstrates how to multiply and divide surds. The tutorial also provides examples of simplifying surds by expressing them as products of factor pairs, emphasizing the use of the largest square factor for simplification.

What is a surd?

• A rational number with a square root

• A whole number

• An irrational root of a rational number

• A number that can be easily squared

Which of the following is NOT a surd?

• Square root of 9

• Square root of 40

• Square root of 5

• Square root of 27

How do you multiply surds?

• Subtract the numbers inside the roots

• Multiply the numbers inside the roots

• Add the numbers inside the roots

• Divide the numbers inside the roots

Which operation is NOT applicable when using the multiplication and division rules for surds?

• Multiplication

• Addition

• None of the above

• Division

What is the simplified form of the square root of 40?

• 10 root 2

• 5 root 8

• 4 root 5

• 2 root 10

When simplifying surds, why is it beneficial to find the largest square factor?

• It reduces the number of steps needed

• It increases the complexity

• It makes the surd larger

• It has no effect on the simplification

What is the simplified form of the square root of 200?

• 2 root 50

• 20 root 5

• 10 root 2

• 5 root 4