Surds cab be multiplied the same way we multiply other mathematical constants and variables.
The rational factor and the irrational factors are multiplied separately. For example:
Please NOTE: You can only multiply surds that have same irrational factor if only they are in the same order.
The product of two like surds of order 2 is always rational. That is:
√b x √b = b
From the laws of indices: we recall...
Example
Most often, you can simplify unequal surds and they become alike. For example
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Solution
Always remember to simplify surds first before multiplying
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