Question

Given that √2 is irrational. Prove that 5+2√3 is an irrational number.
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Answer 1

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Answer 2

HELLO FRIEND HERE IS YOUR ANSWER

GIVEN=√2 IS AN IRRATIONAL NO.

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 NO

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