REDUCING THE INDEX

Radicals can be written with fractional exponents.8√4 = 4(1/8)

Does 4 = 22 ? answer

Therefore 22 can be substituted for 4 in 4(1/8) and = (22)(1/8)

Next we multiply the exponents resulting in  2(2/8) 

This can be reduced to  2(1/4) and rewritten as a radical  4√2 

Thus the index has been reduced and 8√4 = 4√2


Try the following examples:

8√16 = answer

10√(a2b6) = answer

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