Question

prove
that root7 + root3 is irrational ​

Answer 1

Answer:

√7+√3

asume that there are rational

√7+√3=ab

therefore ab is rational

but √7+√3 is irrational

by contradiction

√7+√3 is irrational....

I hope it's correct

mark me as brainliest

Answer 2

Dear Student,

*******************

Let us assume that,

$\sqrt{7} + \sqrt{3} \: is \: ratiom \\nal$

and take it a value "x" which is a rational value.

now,

$x = \sqrt{7} + \sqrt{3} \\ sqaurring \\ = > {x}^{2} = 7 + 3 + 2 \sqrt{21} \\ = > {x}^{2} = 10 + 2 \sqrt{21}$

now as we can see,

even thugh we are squarring root comes,

what does that mean,

it is an irrational.

contrardiction fails.

thanks!