Question

problem 1.1
\sqrt4{16} =
check
explain

Explanation:

Step1: Recall the definition of nth root

The nth root of a number \( a \), denoted as \( \sqrt[n]{a} \), is a number \( x \) such that \( x^n = a \). Here, we need to find the 4th root of 16, so we need to find a number \( x \) where \( x^4 = 16 \).

Step2: Test possible numbers

Let's test some small integers. Let's start with \( x = 2 \): \( 2^4 = 2\times2\times2\times2 = 16 \). So, \( \sqrt[4]{16}=2 \) because \( 2^4 = 16 \).

Answer:

2