How to Simplify Surds

Simplifying Surds



The ability to simplify Surds is an important skill in Mathematics. It allows operations such as multiplication, addition, subtraction and division to be done as simply as possible and minimises the size of the numbers used in the calculation


The trick to simplifying surds is to search for the highest square factor of the number, though we can also simplify surds using prime factors


We then use the following general rule for multiplying surds


multiplying surds

Written Example 1:

simplify root 50

Written Example 2:

simplify root 27
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