Question

Can anyone help me
that √2+√3 is irrational number​

Answer 1

no it is not an irrational no. as it can not be written in the form of p/q

hope it helps....

plzzz mark the brainliest...

Answer 2

Answer:

First of all we assume that give no. is rational no. the we will proves ourselves wrong

so assuming given no is a/b

$\sqrt{2} + \sqrt{3} = \frac{a}{b} \\ where \: a \: and \: b \: are \: rational \: no. \\ squaring \: both \: side \: \\ ( \sqrt{2} + \sqrt{3} ) ^{2} = \frac{a}{b} \\ 2 + 3 + 2 \sqrt{2} \sqrt{3} = \frac{a}{b} \\ 5 + 2 \sqrt{6} = \frac{a}{b} \\ 2 \sqrt{6} = \frac{a}{b} - 5 \\ 2 \sqrt{6} = \frac{a - 5b}{b} \\ \sqrt{6} = \frac{a - 5b}{2b} \\ here \: on \: the \: right \: hand \: side \: is \: rational \: no. \\ and \: left \: side \: is \: irrational \: no. \: \\ so \: our \: assumption \: was \: wrong \\ \sqrt{2} + \sqrt{3} \: cannot \: be \: equal \: to \: \frac{a}{b} \\ so \sqrt{2} + \sqrt{3} \: is \: irrational$