Question

several questions in 9.2 homework are fill in the blank. do not put any spaces between numbers, variables, or symbols. if you answer is a fraction, put it in decimal form. round to the nearest hundredth if necessary. for example, an answer of \\(\frac{1}{2}\\) should be written as 0.5. an answer of \\(\frac{2}{3}\\) should be written as the decimal 0.67.
1 fill in the blank 0.5 points
simplify, if necessary round to the nearest hundredth \\(\sqrt{169}\\)
type your answer...

Explanation:

Step1: Recall square of integers

We know that \(13\times13 = 169\), which can be written as \(13^2=169\).

Step2: Simplify the square root

The square root of a number \(x\) is a value \(y\) such that \(y^2 = x\). So, \(\sqrt{169}=\sqrt{13^2}\). By the property of square roots, \(\sqrt{a^2}=a\) when \(a\geq0\). Here, \(13\geq0\), so \(\sqrt{13^2} = 13\).

Answer:

13