Math: the fourth root of 80

Questions about roots – especially higher order ones – are commonly asked during math tutoring.  The tutor offers a quick example.


Example: simplify 4√(80)

Step 1: Realize that 80=16(5). Therefore,


Step 2: Realize that the reason we break 80 into 16(5) is that 4√(16)=2 (for the reason that 2x2x2x2=16). Therefore,


Most fourth roots cannot be simplified in this way; only those that contain a perfect fourth power (one of 2^4=16, 3^4=81, 4^4=256, etc) can be.

Example: Simplify 4√(1250)


5^4=625. Therefore, we proceed as follows:


Thanks for stopping by on this warm summer night:)

Jack of Oracle Tutoring by Jack and Diane, Campbell River, BC.

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