Question

prove that √3+√2 is irrational​

Answer 1

Explanation:

this will be your answer............

see the attachment

Answer 2

We know that sq. root = $x^{1/2}$

& due to the property of exponents that if the exponents are same than it will be taken as common power.

So, $3^{1/2} + 2^{1/2}$ = $(3 + 2)^{1/2}$

= $5^{1/2}$ = $\sqrt{5}$

And we all know that root of prime numbers are always irrational.