Question

what is $sqrt{256}$?

Explanation:

Step1: Recall square - root definition

The square - root of a number \(x\), \(\sqrt{x}\), is a value \(y\) such that \(y^2=x\). We need to find a number \(y\) where \(y^2 = 256\).

Step2: Find the number

We know that \(16\times16=256\) and \((- 16)\times(-16)=256\). In the case of the principal square - root (the symbol \(\sqrt{x}\) represents the non - negative square root), \(\sqrt{256}=16\).

Answer:

16