Question

given that route 3 is irrational prove that 5+3 is irrational.

Answer 1

Answer: you can take help from this

(I ve not provided u the exact one coz if u do that urself u will gain confidence)

Answer 2

Given:

⟹ √3 is already irrational.

$\large{\underline{\textbf{To\:prove\::}}}$

\large{\underline{\textbf{To\:prove\::}}}

Toprove:

⟹ 5 - √3 is a irrational.

Solution :-

⟹ 5 - √3 = a/b ( Where a & b are rational number).

● We know that the number which can be written in form of a/b where b is not equal to zero are called rational number.

● Moving 5 to the other side.

⟹ √3 = a/b - 5

● By taking LCM.

⟹ √3 = a - 5b/b.

We know that a - 5b/b is a irrational number but it is already given that √3 is irrational.

● We can now say that 5 - √3 is irrational.

$\red{Hence\:proved\:!}$