GCSE Maths - Surd Rules and Simplifying Expressions Containing Surds (Part 2/3) #41

The video tutorial covers the basics of surds, including rules for multiplication, division, addition, and subtraction. It explains how to simplify surds using factor pairs and demonstrates expanding brackets with surds. The tutorial concludes with a final simplification example and an additional example to reinforce the concepts.

What is the result of multiplying root 5 by root 6?

• Root 1

• Root 56

• Root 30

• Root 11

Why can't you add root 13 and root 6 to get root 19?

• Because the numbers inside the surds are different

• Because they are not in the same form

• Because they are not divisible

• Because they are not whole numbers

How can you simplify the square root of 125?

• As root 20 times root 6.25

• As root 15 times root 8.33

• As root 10 times root 12.5

• As root 25 times root 5

What is the simplified form of 2 root 45?

• 12 root 5

• 9 root 5

• 6 root 5

• 3 root 5

When expanding (root 5 + 2)^2, what is the result?

• 5 + 4 root 5 + 4

• 5 + 6 root 5 + 4

• 5 + 8 root 5 + 4

• 5 + 2 root 5 + 4

What is the final simplified form of the expression 5 root 5 - 6 root 5 + 9 + 4 root 5?

• 5 root 5 + 9

• 4 root 5 + 9

• 2 root 5 + 9

• 3 root 5 + 9

In the quick example, what is the simplified form of root 48?

• 2 root 3

• 4 root 3

• 5 root 3

• 3 root 3