Question

prove7+2root3is irrational​

Answer 1

Answer:

Let 2-√3 be rational

2-√3=p/q

√3=p/q+2

√3=(p+2q)/q(Integer/Integer)

√3 is a irrational number

it shows our supposition was wrong

hence 2-√3 is a irrational number

hope it helps u

Answer 2

here is ur ans dear.....

Step-by-step explanation:

let 7 +2√3 as a rational number.

7 is rational and √3 is irrational.

(7 +2√3) - 7 is a rational. [Difference Between Two Rational Number Is Rational].....

2√3 is rational.

2 is rational and √3 is irrational.

2*2√3 is rational. [Product Of TWO Rational Number Is Rational].

√3 is rational.

but this contradicts the fact √3 is rational.

our assuming is wrong.

hence,

7 + 2√3 is irrational.....

prooved!!!!

hope it helps u dear...... pls mark me as brainliest.....♡♡♥♥