Question

lets do some more problems with higher order roots
problem 3.2
sqrt8{6561}=?
choose 1 answer:
a 2
b 3
c 4
d 5

Explanation:

Step1: Recall the 8th power of numbers

We know that \(3^8 = 3\times3\times3\times3\times3\times3\times3\times3\). Let's calculate \(3^2 = 9\), \(3^4=(3^2)^2 = 9^2 = 81\), \(3^8=(3^4)^2 = 81^2 = 6561\).

Step2: Evaluate the 8th root

The 8th root of a number \(x\) is a number \(y\) such that \(y^8 = x\). Since \(3^8 = 6561\), then \(\sqrt[8]{6561}=3\).

Answer:

B. 3