How do you simplify #root4(16)#?

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Answer 1 · 2018-07-09T17:08:01

#root(4)16 = 2#

Write the radicand as the product of its prime factors.

#root(4)16 = root(4)(2^4)#

In this case, the expression simplifies very nicely.

#root(4)16 = 2#

Answer 2 · 2018-07-09T18:04:04

#.root4(16)=2#

#root4(16)#

#:.=root4(2*2*2*2)#

#:.=sqrt 2*sqrt2*sqrt2*sqrt2=2#

#sqrt a*sqrta*sqrta*sqrta=a#

#:.root4(16)=2#

Answer 3 · 2018-07-09T18:53:23

#2#

We can rewrite #16# as #2^4#, which allows us to now have the expression:

#root4(2^4)#

The Root #4# and exponent #4# cancel, and we're left with

#2#

Hope this helps!