How do you simplify root4(16)?

3 Answers
Jul 9, 2018

root(4)16 = 2

Explanation:

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

Jul 9, 2018

.root4(16)=2

Explanation:

root4(16)

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

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

sqrt a*sqrta*sqrta*sqrta=a

:.root4(16)=2

Jul 9, 2018

2

Explanation:

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!