Irrational Numbers: show that cube root of 6 is irrational  TOPIC_SOLVED

Fractions, ratios, percentages, exponents, number patterns, word problems without variables, etc.

Irrational Numbers: show that cube root of 6 is irrational

Postby kishorek on Thu Apr 02, 2009 3:33 am

Show that cube root of 6 is an irrational number.

can you please help me to prove this.
kishorek
 
Posts: 1
Joined: Thu Apr 02, 2009 3:30 am

Sponsor

Sponsor
 

Re: Irrational Numbers

Postby Martingale on Thu Apr 02, 2009 3:55 am

kishorek wrote:Show that cube root of 6 is an irrational number. can you please help me to prove this.


try assuming that it is rational and deriving a contradiction.
User avatar
Martingale
 
Posts: 363
Joined: Mon Mar 30, 2009 1:30 pm
Location: USA

  TOPIC_SOLVED

Postby stapel_eliz on Thu Apr 02, 2009 11:49 am

kishorek wrote:Show that cube root of 6 is an irrational number.

To expand upon the previous reply, review the following articles:

. . . . .Google results for "prove square root 2 irrational"
. . . . .Ask Dr. Math: Proof that sqrt(3) is irrational
. . . . .Ask Dr. Math: Prove or disprove sqrt(2), sqrt(4) irrational
. . . . .Ask Dr. Math: Proving sqrt(3) is irrational
. . . . .Physics Forum: Proving that cube root 7 is irrational
. . . . .Google results for "prove cube root 2 irrational"

You'll quickly note that the various proofs all follow the same sorts of techniques and thought processes. Model your proof on those same methods.

Have fun! :wink:
User avatar
stapel_eliz
 
Posts: 1784
Joined: Mon Dec 08, 2008 4:22 pm


Return to Arithmetic

cron