Question

Which is the correct classification of √18?

irrational number, non-repeating decimal
irrational number, terminating decimal
rational number, terminating decimal
rational number, non-repeating decimal

Answer 1

Irrational number, Non-repeating decimal

Explanation:

Dictonary definition of

IRRATIONAL NUMBER:

"(of a number, quantity, or expression) not expressible as a ratio of two integers, and having an infinite and nonrecurring expansion when expressed as a decimal. Examples of irrational numbers are the number π and the square root of 2."

Answer 2

irrational number, non-repeating decimal

Explanation:

√18 = √9·√2 = 3·√2.

√2 is an irrational, non-repeating decimal (my calculator shows it to be approx. 1.414213562..... )

and so √18 is the same.