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Simplifying Surds

Simplifying Surds. Simplify: Answer:. Look at the example and try to work out how to get to the answer Stuck? Use the hint cards to help (try to only use one at a time!) When you have worked it out, write the rule on your worksheet:

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Simplifying Surds

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  1. Simplifying Surds Simplify: Answer: • Look at the example and try to work out how to get to the answer • Stuck? Use the hint cards to help (try to only use one at a time!) • When you have worked it out, write the rule on your worksheet: ‘When simplifying surds, always look for a factor that is a ….’ • Now try the green, amber and red questions!

  2. HINT CARD 1

  3. HINT CARD 2

  4. HINT CARD 3

  5. HINT CARD 1 Use the following rule: Simplifying Surds

  6. HINT CARD 2 • Look for a factor that is a square number and write it as a sum e.g. Simplifying Surds

  7. HINT 3 • Follow this worked example: Look for a factor that is a square number This is how the final answer should be written Simplifying Surds

  8. Squaring Surds 1. 2. 3. 4. 5. • Try these sums on your calculator • What do you find out? • Write the rule on your sheet: ‘When we square a surd…’ • Try the green, amber and red sums.

  9. Why Bother With Surds? These are not surds: These are surds: • Type each of the sums into the calculator. • Look carefully at the answer and think about why we use surds • Use the hint card if you need help • Write your findings on your sheet • Try the green, amber and red questions

  10. HINT CARD

  11. HINT • Look at the numbers after the decimal point. • What words would you use to describe the order that they appear? Why bother with surds?

  12. Example: Your Turn: Adding Surds • Remember how to collect like terms in algebra? • Adding and subtracting surds works in exactly the same way! • Look at the worked example and discuss the question

  13. HINT CARD

  14. HINT 1 • Think of each surd as ‘x’ and collect like terms like you would in algebra! E.g. Think of these as 4x – 2x = Adding surds

  15. Simplify: Answer: Multiplying Surds • When multiplying surds, write out the expression in full before attempting to simplify it. • Sound familiar? It’s exactly the same as algebra! • Can you fill in the ‘working out’ for this question? Use the hints to help you. • Fill in the rule on your sheet: ‘When multiplying surds, always write out…’ Try the green, amber and red questions!

  16. HINT CARD

  17. HINT • Write out the sum in the longest way first… …then multiply out the whole numbers… …then multiply the surds together! Multiplying surds

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