Question

prove that 5+3√2 is irrational​

Answer 1

Hey mate here's ur answer,

GIVEN=√2 IS AN IRRATIONAL NO.

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

GIVEN=√2 IS AN IRRATIONAL NO. LET US SUPPOSE THAT THE 5+3√2 IS AN RATIONAL NO. HENCE,

5+3√2=P/Q

5+3√2=P/Q3√2=P/Q-5

5+3√2=P/Q3√2=P/Q-5√2=P/Q-5/3

HENCE √2 IS A. RATIONAL NUMBER

HENCE √2 IS A. RATIONAL NUMBERBECAUSE IT IS EQUAL TO THE P BY Q FORM

HENCE √2 IS A. RATIONAL NUMBERBECAUSE IT IS EQUAL TO THE P BY Q FORM BUT WE KNOW THAT √2 IS AN IRRATIONAL NO.

HENCE, OUR SUPPOSITION IS WRONG

HENCE, OUR SUPPOSITION IS WRONG HENCE 5+3√2 IS AN IRRATIONAL NO

HOPES IT HELPS YOU ☺

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