Question

lets practice finding some 5th roots
problem 2.2
$sqrt5{1024} = $
check
explain

Explanation:

Step1: Recall 5th power values

We know that \(2^5 = 32\), \(3^5=243\), \(4^5 = 1024\), \(5^5=3125\).

Step2: Evaluate the 5th root

The 5th root of a number \(x\) is a number \(y\) such that \(y^5=x\). Here, we need to find \(y\) where \(y^5 = 1024\). From the above, we see that \(4^5=1024\), so \(\sqrt[5]{1024}=4\).

Answer:

\(4\)