Question

Show that √2+5√3 is an irrational

Answer 1

Answer:

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Answer 2

Answer:

let √2+5√3 be a rational.

We know that √3 is a irrational.

so let √3=m

so,√2+5√3= a/b

5√3=a/b-√2

5√3=a-√2/b

√3=a-√2/5b

a-√2/5b=m

it contradicts the fact that √2+5√3 is not a rational.so it is irrational.

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