Question

Is √7 a rational or irrational number? Justify your answer.

A
B
C
D
irrational, because all radicals are irrational
rational, because all radicals are rational
irrational, because its decimal expansion does not repeat nor terminate
rational, because its decimal expansion eventually repeats

Answer 1

Answer: Irrational because its decimal expansion does not repeat or terminate.

Step-by-step explanation: Rational numbers are numbers like 8.33 and 2 because they terminate or repeat. However, irrational numbers are numbers that don't repeat or terminate. You could call them the oddball numbers. With this information in mind, we can now fully answer the question. √7 is 2.64575131. It doesn't repeat or terminate, so it's an irrational number.

Hope this helps! :)

Answer 2

C irrational, because its decimal expansion does not repeat nor terminate

Explanation:

√7 = 2.6457513110645905905016157536392604257102591...

The decimal number does not terminate or repeat.

It is irrational.

Answer: C irrational, because its decimal expansion does not repeat nor terminate