Math, asked by jasnoor638, 1 month ago

Prove that the following are irrational: 6+√2​

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Answered by s13397adisha2258
14

Answer:

Prove that 6 + √2 is an irrational number.

Answer: Given 6 + √2.

To prove: 6 + √2 is an irrational number. Proof: Let us assume that 6 + √2 is a rational number. So it can be written in the form a/b. 6 + √2 = a/b. Here a and b are coprime numbers and b ≠ 0.

Solving. 6 + √2 = a/b. we get, => √2 = a/b – 6. => √2 = (a-6b)/b. ...

6 + √2 is an irrational number. Hence, proved.

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Answered by ganpathinaik0275
5

Answer:

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