Simplifying Surds in the Context of Expanding Brackets

The video tutorial explains how to simplify surds, especially when expanding brackets that include square roots. It covers three key rules for simplifying surds and demonstrates their application through examples. The first example involves expanding and simplifying a single bracket, while the second example uses the FOIL method to expand and simplify double brackets. The tutorial emphasizes the importance of careful expansion and simplification using surd rules and encourages practice to master the topic.

What is the result of multiplying a surd by itself?

• The surd itself

• The square of the surd

• The original number inside the surd

• Double the surd

When multiplying two surds, how can they be combined?

• Add them under one square root

• Subtract them under one square root

• Divide them under one square root

• Multiply them under one square root

In the expression (√3)(√3 + √6), what is the first step in expanding the brackets?

• Add √3 and √6

• Subtract √3 from √6

• Multiply √3 by itself

• Multiply √3 by √6

How can the square root of 18 be further simplified?

• By finding a square factor of 18

• By adding 9 to it

• By subtracting 9 from it

• By dividing it by 2

What is the simplified form of 3√2?

• 3√2

• 3

• √6

• 6

Which method is used to expand the expression (5 + √2)(2 - √2)?

• FOIL method

• Substitution method

• Factorization method

• Distributive method

What is the final simplified result of (5 + √2)(2 - √2)?

• 10 + 3√2

• 8 - 3√2

• 8 + 3√2

• 10 - 3√2