Answer
Not true because $\sqrt 2$, which is an irrational number, times $\sqrt 2$ is 2, which is a rational number.
Work Step by Step
$\sqrt 2\times\sqrt 2=\sqrt 2^2=2$ because the radical and the power of two cancel each other out.
Algebra 2 Common Core
by Hall, Prentice
Published by
Prentice Hall
ISBN 10:
0133186024
ISBN 13:
978-0-13318-602-4
Chapter 1 - Expressions, Equations, and Inequalities - 1-2 Properties of Real Numbers - Practice and Problem-Solving Exercises - Page 16: 63
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