Math, asked by swapnanilsaikia, 9 months ago

to prove that square root 2 +square root 3 is irrational​

Answers

Answered by CutyRuhi
2

Here is your answer...

Hope it helps❤❤❤

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Answered by addalapoojanaidu
1

Answer:

Step-by-step explanation:

Assume that sqr2 + sqr3 = rational (in the form of a/b ; b not equal to 0)

square both sides;

2+3+2sqr6=a^2/b^2

2sqr6=(a^2/b^2)-5

2sqr6=(a^2-5b^2)/b^2

sqr6= (a^2-5b^2)/2b^2

this says that LHS is rational bcoz RHS is rational

But it contradicts the fact that sqr6 is irrational. therefore our assumption is wrong.

hence, sqr2+sqr3 is irrational.

         

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