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

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

Show that cube root of 6 is an irrational number.

kishorek

Posts: 1
Joined: Thu Apr 02, 2009 3:30 am

### Re: Irrational Numbers

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.

Martingale

Posts: 363
Joined: Mon Mar 30, 2009 1:30 pm
Location: USA

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!

stapel_eliz

Posts: 1804
Joined: Mon Dec 08, 2008 4:22 pm