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

The video tutorial demonstrates how to simplify the expression (4 - √3)(4 + √3) / √13 to √13. It involves expanding the brackets, recognizing the difference of squares, simplifying the numerator, and rationalizing the denominator. The process is broken down into clear steps, emphasizing the manipulation of surds. The tutorial concludes with a discussion on the marks awarded for the problem.

What is the first step in simplifying the expression (4 - √3)(4 + √3) / √13?

• Add the terms

• Expand the brackets

• Rationalize the denominator

• Subtract the terms

When expanding (4 - √3)(4 + √3), what is the result of 4 multiplied by 4?

• 20

• 12

• 16

• 8

After expanding the brackets, what is the simplified numerator of the expression?

• 10

• 11

• 12

• 13

What is the purpose of multiplying the numerator and denominator by √13?

• To add the terms

• To subtract the terms

• To rationalize the denominator

• To simplify the numerator

What is the final simplified result of the expression (4 - √3)(4 + √3) / √13?

• 3

• 13

• √13

• √3