1. Simplifying the Surds
Surds: Irrational

2. Let’s find the square root of 27!

3. What are the factors of 27?
Factors: Numbers you can multiply together to get another number.
Factors of 27 1 27 3 9

4. What is the square root of 27?
Is 27 a perfect square?
No!
Use the factors to help find the square root.

5. Think about this…
√27 27
Factors! 9 3 3 3

6. So what is the square root of 27?
27 = 3 x 3 x 3 1
How many pairs of 3s can you make?
Therefore, √27 = √(3x3)x3
√27 = 3√3

7. What is the square root of 252?
252= 2 x 2 x 3 x 3 x 7 2
How many pairs of 2s or 3s can you make?
So, √252 = √(2x2)x(3x3)x7
√252 = (2x3)√7
= 6√7

8. You Try
√32
4√2
√128
8√2
√380
2√95
√8125
25√13

9. Complete the practice sheet to the best of your ability! TRY!
Assignment:
Complete the practice sheet to the best of your ability! TRY!