Question

prove that 5+3√2 is an irrational number​

Answer 1

LET US SUPPOSE THAT THE 5+3√2 IS AN RATIONAL NO.

HENCE,

5+3√2=P/Q

3√2=P/Q-5

√2=P/Q-5/3

HENCE √2 IS A. RATIONAL NUMBER

BECAUSE IT IS EQUAL TO THE P BY Q FORM

BUT WE KNOW THAT √2 IS AN IRRATIONAL NO.

HENCE, OUR SUPPOSITION IS WRONG

HENCE 5+3√2 IS AN IRRATIONAL NUMBER

Answer 2

so this is the answer of this question