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

The video tutorial addresses two math problems involving rationalizing denominators. First, it examines Martin's incorrect solution to the problem 14 / (2 + root 3), identifying his mistake in multiplying root 3 by minus root 3. The correct approach is explained. Next, the tutorial analyzes Sean's error in rationalizing 5 over root 12, where she incorrectly simplifies root 12. The correct method is demonstrated, highlighting the importance of identifying square factors. Both sections emphasize understanding and correcting common mistakes in rationalization.

What was the initial problem Martin was trying to solve?

• Calculating the value of root 3

• Simplifying 14 / 2

• Finding the square root of 14

• Rationalizing the denominator of 14 / (2 + root 3)

What mistake did Martin make in his calculation?

• He incorrectly calculated root 3 times root 3

• He used the wrong formula

• He added instead of multiplying

• He forgot to multiply the numerator

What is the correct result of root 3 multiplied by root 3?

• 1

• 9

• 3

• 6

What was Sean's mistake in her calculation?

• She multiplied by the wrong number

• She forgot to rationalize the denominator

• She added instead of subtracting

• She incorrectly simplified root 12

What should root 12 be simplified to?

• 4 root 3

• 2 root 3

• 3 root 2

• 5 root 2