+0

# Irrational/rational #'s

0
100
2

is the square root of 1,000 rational

Guest May 14, 2018
#1
+3276
+1

Yes, it is rational; 31.662, and it goes on.

tertre  May 14, 2018
#2
+964
+3

$$\sqrt{1000} = \sqrt{100\cdot10} = \sqrt{100}\cdot\sqrt{10} = 10\sqrt{10}.$$

It's irrational since √10 is irrational since there exists NO integer which, when squared, = 10.

GYanggg  May 14, 2018