Reduce the index of the radical of the expression ^4sqrt2?

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Reduce the index of the radical of the expression ^4sqrt2?

For clarification to get the idea of my problem....
ex. sqrt4 is 2
^2sqrt4 is also 2
^3sqrt8 is also 2

2006-09-04 13:45:08 · 2 answers · asked by cheezzznitz 5 in Science & Mathematics ➔ Mathematics

the homework question is multiple choice, and yes...one of the choices is "already reduced"

2006-09-04 14:04:42 · update #1

2 answers

^4 sqrt(2) = fourth root of 2
cannot be reduced
You can reduce the fourth root of 4 because
fourth root of 4 = fourth root of 2^2 = 2^(2/4) = 2^(1/2) = sqrt(2)

2006-09-04 13:47:32 · answer #1 · answered by MsMath 7 · 0⤊ 0⤋

Do you mean 2^(1/4)?

2006-09-04 20:49:37 · answer #2 · answered by john 3 · 0⤊ 0⤋