Surds
- Created by: Kallum_hancox
- Created on: 02-04-17 21:50
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- Surds
- Rule 1: Multiplying Surds
- Example 1
- ?2×?3
- Solution: Using the rule above ?a×?b=?ab. If we multiply the numbers 2 and 3 to give the answer ?6.
- Therefore ?2×?3=?6
- Example 2
- Simplify: ?12
- Solution: using the rule above ?a×?b=?ab we can break the number 12 up into smaller numbers such as ?4×?3.
- 2?3. So, ?12=2?3
- Example 3
- Work out 2?3×4?5
- Solution: Multiply the numbers inside the square root with each other to give 3×5=15 and the outside numbers with each other to give 2×4=8.
- Therefore the solution is 2?3×4?5=8?15
- Example 1
- Rule 2: Dividing Surds
- Example 1
- Work out ?15÷?5
- Solution : Using this rule ?a??b=?(a?b)
- Cancel the numbers down to its lowest form to give. ?15??5=?15?5=?3
- Example 2
- Simplify 8?6÷2?3
- Solution : Numbers inside the square roots can be divided with each other, as well as the numbers on the outside. So 8÷2=4 and 6÷3=2
- Therefore 8?6÷2?3=4?2
- Example 1
- Rule 3: Subtracting Surds
- Work out ?7-?2
- Solution : Using the subtraction rule above ?b-?a=?b-a, we can subtract the 7 and 2 to give 5
- Therefore ?7-?2=?5
- Rule 4: Adding Surds
- Work out ?3+?6
- Solution : Using the addition rule above ?a+?b=?a+b, we can add the numbers 3 and 9 within the square root to give ?9
- Then, using the tip that ?9=3. Therefore ?3+?6=?9= 3
- Rule 1: Multiplying Surds
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