Question

what is the positive square root of 10,000?

Explanation:

Step1: Recall square - root concept

The square - root of a number \(x\) is a value \(y\) such that \(y\times y=x\). We want to find \(\sqrt{10000}\).

Step2: Factorize 10000

We know that \(10000 = 100\times100\). So, \(\sqrt{10000}=\sqrt{100\times100}\).

Step3: Apply square - root property

According to the property \(\sqrt{a\times a}=a\) (for \(a\geq0\)), when \(a = 100\), \(\sqrt{100\times100}=100\).

Answer:

100