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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