Question

SECTION-C
Psove that V7 is irrational
গ্রামণ চৰা যে । আশাৰ মেয়া
প্রমাণ করাে যে 12 অপরিমেয়।
फोरमान खालाम दि 7 आ रानजीब
सिद कीजिए कि​

Answer 1

Answer:

If possible,let √7 be rational number.

so,√7=a/b,where a and b are co-prime.

squaring both sides

7=a^2/b^2

7b^2=a^2-------(1)

so,a is divisible by 7

let a=7c for some integer

using (1)we get,

7b^2=49c^2

b^2=7c^2

b is divisible by 7

Hence,a and b both are divisible by 7.

But,a and b are co-prime.

so,our assumption is wrong.

Hence,√7 is irrational.

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SAHIL KUMAR