Question

p.t 5-2√3 is irrational​

Answer 1

R. T. P :-

• 5 - 2√3

PROOF :-

• Let us assume 5 - 2√3 be rational

Subtract given number from 5 ,

Considering 5 is a rational number

As we know,

• Difference of two rational numbers is a rational number

→ 5 - (5 - 2√3) is rational

→ 2√3 is rational

As we know,

• Product of two rational number is rational number.

But the fact is,

• √3 is irrational

Which is contraction to our assumption

$\sf\colorbox{pink}{ 5~-~2√3~is~irrational }$