Question

prove that 7+2√3 is irraational
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Answer 1

Step-by-step explanation:

TO PROVE THAT 7+2/3 IS IRRATIONAL.

LET 7+2-/3 IS A RATIONAL NUMBER IN THE FORM OF a by b.

$7 + 2 \sqrt{3} = \frac{a}{b} \\ 2 \sqrt{3} = \frac{a}{b} - 7 \\ 2 \sqrt{3} = \frac{a - 7b}{b} \\ \sqrt{3} = \frac{a - 7b}{2b}$

HENCE HERE CONTRADICTION ARISES AS WE KNOW THAT ROOT 3 IS A IRRATIONAL NUMBER HENCE PROVED.

PLZ MARK AS BRAINLIEST

Answer 2

Step-by-step explanation:

according to properties of rationalisation

irational×rational = irrational

so,

2×√3 is irrational

now,

rational+ irrational= irrational

so therefore,

7+2√3 is irrational

prooved