Question

9 fill in the blank 0.5 points simplify, if necessary round to the nearest hundredth \\(sqrt{170}\\) type your answer...

Explanation:

Step1: Recall square root approximation

We know that \(13^2 = 169\) and \(14^2 = 196\). So \(\sqrt{170}\) is between \(13\) and \(14\), closer to \(13\) since \(170 - 169 = 1\) and \(196 - 170 = 26\).

Step2: Calculate the decimal approximation

Using a calculator or more precise method, \(\sqrt{170}\approx13.04\) (rounded to the nearest hundredth).

Answer:

\(13.04\)