Question

prove that 5-2✓3 is irrational​

Answer 1

Step-by-step explanation:

5 - 2 √3 = p/q, where p and q are integers, having no common factor except 1 and q ≠ 0. ... Therefore, √3 is also a rational number, which contradicts our assumption. Thus, Our supposition is wrong. Hence, 5 - 2 √3 is an irrational number.

Answer 2

Answer:

Step-by-step explanation:

Let us assume that  5-2✓3  is a rational.

                $so,5-2\sqrt{3} =\frac{a}{b}$  

                 ⇒ $-2\sqrt{3} =\frac{a}{b} -5$

                 ⇒ $-2\sqrt{3} =\frac{a-5b}{b}$

                 ⇒   $\sqrt{3} =\frac{a-5b}{-2b}$

$\frac{a-5b}{-2b}$ is a rational.

√3  is also rational.

But this contradicts the fact that √3 is irrational. so our assumption was wrong . Hence  5-2✓3 is irrational​.

plzz mark this answer as brainliest . For more answers follow me.....