To which subset(s) does the number –square root of twenty belong? Choose all that apply.

(Irrational Numbers
(Rational Numbers***
(Integers***
(Whole Numbers
(Natural Numbers

The maximum of choices is 2

3 answers

THINK

square root of 2 (about 1.414213562) can NOT be expressed as a ratio of two whole numbers

square root of ten can NOT be expressed as ratio of two whole numbers

THEREFORE

square root of two * square root of ten which is square root of twenty can NOT be expressed as the ratio of two whole numbers

THEREFORE
square root of twenty is IRRATIONAL
2 sqrt 5 = sqrt 20
sqrt 5 = 2.236067977
IRRATIONAL
http://www.dictionary.com/browse/irrational--number