Question

(\textcircled{1}) sqrt5{243}=3

Explanation:

Step1: Recall the n - th root definition

The fifth - root of a number \(x\), denoted as \(\sqrt[5]{x}\), is a number \(y\) such that \(y^{5}=x\).

Step2: Check if \(3^{5}=243\)

We know that \(3\times3\times3\times3\times3 = 9\times3\times3\times3=27\times3\times3 = 81\times3=243\). So \(\sqrt[5]{243}=3\).

Answer:

The statement \(\sqrt[5]{243}=3\) is True.