Math, asked by pramodnundruka2020, 9 months ago

prove that root 3 is irrational?​

Answers

Answered by khushi3640
8

...your answer is here........

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Answered by saiswapna2006
2

Answer:

root 3=a/b

on squaring both the sides

3=a^2/b^2

a^2=3b^2

now let us consider a=3c

on squaring both the sides

a^2=9c^2

as we have calculated that a^2=3b^2

3b^2=9c^2

b^2=3c^2

this contradicts the definition of rational number

hence it is irrational

Step-by-step explanation:

remember at the beginning we consider root to be rational as we have to prove that root 3 is irrational

any number for instance when we consider it to be a rational number we Express that number a/b

examples to prove root 5 is irrational

we shall consider root 5 as rational and Express it as root 5=a/b

we then square the numbers

a d if u have a question why I put a =3c instead of any other number because it was 3 to be proved irrational if it was 5 I would write root 5

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