Answer:
a) 2√2
b) 2√3
c) 4√2
Explanation:
To simplify surds, you want to find the largest perfect square that can be factored out from the number under the square root.
a) √8
The largest perfect square that can be factored out from 8 is 4, because 4 is the square of 2.
√8 = √(4 × 2) = √4 × √2 = 2√2
b) √12
The largest perfect square that can be factored out from 12 is 4, because 4 is the square of 2.
√12 = √(4 × 3) = √4 × √3 = 2√3
c) √32
The largest perfect square that can be factored out from 32 is 16, because 16 is the square of 4.
√32 = √(16 × 2) = √16 × √2 = 4√2