We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
174
2
avatar

is the square root of 1,000 rational

 May 14, 2018
 #1
avatar+4249 
+1

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

smileysmiley

 May 14, 2018
 #2
avatar+982 
+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.

 May 14, 2018

17 Online Users

avatar
avatar