1. Surds Roots that are irrational are called surds. Law 1: 𝑎 𝑏 = 𝑎𝑏
Simplify 𝟑𝟐 + 𝟏𝟖 + 𝟏𝟐𝟖 , without the use of a calculator.
= 16×2 + 9× ×2 =
Law 1 =
=15 2

2. Surds Write 𝟐𝟕 + 𝟏𝟐 in the form of k 𝟑 , where k ∈ N. 27 + 12
= 9×3 + 4×3
= 9 × × 3 =
=5 3
If 𝟖 + 𝟓𝟎 − 𝟐 =𝒏 𝟐 , find the value of n.
− 2 =𝑛 2
4× ×2 − 2 =𝑛 2
− 2 =𝑛 2
− 2 =𝑛 2
6 2 =𝑛 2
∴𝑛=6