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

The video tutorial explains how to solve a math problem involving surds by expanding and simplifying the expression (1 + √2)(3 - √2). The solution is presented in the form a + b√2, where a and b are integers. The tutorial covers the expansion of brackets, simplification of terms, and the final answer, highlighting the importance of understanding basic arithmetic with surds. The video also provides additional tips for handling similar problems and emphasizes the significance of surds in achieving full marks in grade A math questions.

What is the form in which the answer needs to be expressed for the given surds problem?

• a + b√2

• a + b√6

• a + b√3

• a + b√5

What is the result of multiplying 1 by 3 in the expression (1 + √2)(3 - √2)?

• √2

• 1

• 6

• 3

How do you simplify the expression -√2 + 3√2?

• 2

• 2√2

• √2

• 0

What is the value of 'a' in the final answer of the expression (1 + √2)(3 - √2)?

• 0

• 1

• 3

• 2

What should you remember when multiplying surds like √2 and √3?

• You get √9

• You get √1

• You get √6

• You get √5