SOLUTION: prove that: 7-2 root 3 is an irrational number

SOLUTION: prove that: 7-2 root 3 is an irrational number

Algebra.Com

Question 779713: prove that: 7-2 root 3 is an irrational number
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Theorem 1: The square root of any non-negative integer that is not a perfect square is irrational.

Theorem 2: The product of a rational number and an irrational number is irrational.

Theorem 3: The sum of a rational number and an irrational number is irrational.

is irrational by Theorem 1.

is an integer and therefore rational by definition.

is irrational by Theorem 2.

is an integer and therefore rational by definition.

is irrational by Theorem 3.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it

The Out Campaign: Scarlet Letter of Atheism

RELATED QUESTIONS
Prove that cube root of 7 is an IRRATIONAL... (answered by stanbon,cparks1000000,ikleyn)

how do i prove that 7 is an irrational number? (answered by Alan3354,amalm06,ikleyn)

1.prove that the square root of 5 is an irrational number? (answered by psbhowmick)

prove that square root of 3 is irrational (answered by nabla)

prove that root of three is irrational (answered by solver91311)

Please help me solve this problem : Prove that cubed root of 7 increased by 1 is... (answered by ikleyn)

Prove that square root of 5 is... (answered by Fombitz)

Is 2 square root of 7... (answered by math_helper)

prove cube root 6 is... (answered by solver91311)