Question

prove that root 2 -root 3 as an irrational​

Answer 1

Answer:

To prove √2-√3

Step-by-step explanation:

• Let √2-√3 is rational number.

• √2-√3 = m ( where m is coprime number)

• √2 = m+√3

• But √2 is irrational number.

• So , our supposition is wrong.

• √2-√3 is Irrational number.

Mark me as Brainlist

Answer 2

Step-by-step explanation:

Let √2-√3 is a rational number that can be written in the form of p/q, where p and q are integers and q ≠ 0

then

√2 - √3 = p/q

√2 = p/q + √3

here ( p/q+√3 ) is an integer number that is equal to √2.

so, √2 should also be an integer number, but we know that √2 is an irrational number.

Thus,

there is an error in our assumption that's why √2 - √3 is an irrational number.

Mark as Brainliest ❤️