My Math Forum  

Go Back   My Math Forum > High School Math Forum > Pre-Calculus

Pre-Calculus Pre-Calculus Math Forum

LinkBack Thread Tools Display Modes
September 12th, 2017, 11:45 PM   #1
Joined: May 2015
From: San Francisco

Posts: 2
Thanks: 0

Proving certain radicals are irrational

Prove $\displaystyle \sqrt{2} + \sqrt{3}$ is an irrational number.

My attempt to solve this problem is to equate $\displaystyle \sqrt{2} + \sqrt{3}$ to $\displaystyle \frac{a}{b}$ and show that a or b cannot be integers. I don't know how to do that.
putongren is offline  
September 12th, 2017, 11:53 PM   #2
Senior Member
romsek's Avatar
Joined: Sep 2015
From: USA

Posts: 2,264
Thanks: 1198
romsek is offline  

  My Math Forum > High School Math Forum > Pre-Calculus

irrational, proving, radicals

Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
Help: Proving 2^x = 7 is irrational summer2014 Calculus 4 July 18th, 2014 02:40 PM
Converting radicals to mixed radicals with fractions ohaider Algebra 6 February 6th, 2012 08:13 PM
Proving something is a subspace by proving it is a span. suomik1988 Linear Algebra 1 April 29th, 2011 10:57 PM
Help with radicals jonquil Algebra 6 April 13th, 2011 04:40 PM
Radicals jrobbo Algebra 7 February 10th, 2011 05:13 AM

Copyright © 2019 My Math Forum. All rights reserved.