Chapter 9.4, Problem 5C

To determine

The percentage of irrational square roots

Answer to Problem 5C

70%

Explanation of Solution

Rational numbers: It is the set of all the real numbers which can be written in the fraction form

Irrational numbers: It is the set of all the real numbers which cannot be written in the form of fraction. They are the non-terminating and non-repeating decimal numbers

The square roots will be

  $\begin{array}{l}\sqrt{1}=1\\ \sqrt{2}=\mathrm{1.414213562373....}\\ \sqrt{3}=\mathrm{1.732050807568....}\\ \sqrt{4}=2\\ \sqrt{5}=\mathrm{2.236067977499....}\\ \sqrt{6}=\mathrm{2.449489742783....}\\ \sqrt{7}=\mathrm{2.645751311064....}\\ \sqrt{8}=\mathrm{2.828427124746....}\\ \sqrt{9}=3\\ \sqrt{10}=\mathrm{3.162277660168...}\end{array}$

7 of 10 are irrational. Therefore, the percentage of irrational will be 70%