Question

what is $sqrt{196}$?

Explanation:

Step1: Recall square - root definition

The square - root of a number \(x\), \(\sqrt{x}\), is a number \(y\) such that \(y^2=x\). We need to find a number \(y\) where \(y^2 = 196\).

Step2: Find the number

We know that \(14\times14=196\) and \((- 14)\times(-14)=196\). In the case of the principal square - root (denoted by \(\sqrt{x}\) where \(x\geq0\)), we take the non - negative value. So \(\sqrt{196}=14\).

Answer:

14