Question

2. सिद्ध कीजिए कि (2+ root 2) एक अपरिमेय संख्या है.​

Answer 1

Answer:

the square root symbol is √ and written as √2 whose value is 1.414. By solving the value of 2+root 2 we get 3.4142

Step-by-step explanation:

Hope it will help you!

Answer 2

answer

let 2 + root 2 is a rational number

a/b = 2+ root 2 , where a and b are co - primes

a/b - 2 = root 2

now , lcm the a/b and -2

a-2b/ b = root 2

we get a-2b/b is a rational number .so , root 2 is also a rational no.

But this contradicts the fact that root 2 is a irrational no.

so. our assumption is wrong that 2+root 2 is a rational no.

hence 2+root 2 is irrational no.

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