AQA AS Maths Surds and quadratic functions

Surds

Roots of non-square numbers are called SURDS.

√a x √b = √ab   

√a /√b  = √a /√b x √b /√b  (times by denominator to get rid of root on bottom of fraction)

a√c + b√c = a+b√c

a√c - b√c = a-b√c

e.g 
√32 = √16 x √2 
     4 x √2
      = 4√2 

e.g
2√48 + 3√12
= 2√16x3 + 3√4x3
= 2x4√3 + 3x2√3
=…