Which expression will equal a rational product even though it is multiplying an irrational number times another irrational number?
a. √(11)*√(11)
b. 4.*√(5)
c. π*3.
d√(21)*π

A. √11 x √11

Step-by-step explanation:

Irrational numbers are decimals that are non-terminating (don't stop) and non-repeating (don't have a pattern).  So, if you were to multiply a non-terminating and non-repeating decimal by another non-terminating and non-repeating decimal, your answer will still be an irrational, non-terminating and non-repeating decimal that has no pattern and keeps going on and on without end.  Choices B, C and D are all irrational decimals multiplied by a different irrational decimal so the answers would all be irrational.  However, since A has the √11 x √11, we can simply this to (√11)² which is the same as 11, which is a rational number because it is an integer.  

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