Question

Choose the best description for the real number square root of 35.

Answer 1

choices: (please post these next time)

Irrational, because it is not a terminating or repeating decimal
Irrational, because it is a repeating decimal
Rational, because it is not a terminating or repeating decimal
Rational, because it is a repeating decimal

Answer 2

a couple of ways you could think about this:

if 35 is a perfect square (the square of a positive integer), then sqrt(35) is rational
otherwise, sqrt(35) is irrational, with a non-terminating or repeating decimal

if you don't know whether 35 is a perfect square off the top of your head, try plugging in sqrt(35) into a calculator and see what the result looks like