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How can you find irrational number between any two number? - Answers

There are infinitely many Irrational Numbers between any two numbers - rational or irrational.Suppose x and y are two irrational numbers.Consider x2 and y2. Is there any integer between them that is not a perfect square? If so, the square root of that number is an irrational between x and y.If not, consider x3 and y3 and look for an integer between them that is not a perfect cube. If there is then the cube root of that number will meet your requirements.If not, try x4 and y4 and then x5 and y5 etc. In a school exercise you are extremely unlikely to have to go as far as the cubes!



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How can you find irrational number between any two number? - Answers

https://math.answers.com/math-and-arithmetic/How_can_you_find_irrational_number_between_any_two_number

There are infinitely many Irrational Numbers between any two numbers - rational or irrational.Suppose x and y are two irrational numbers.Consider x2 and y2. Is there any integer between them that is not a perfect square? If so, the square root of that number is an irrational between x and y.If not, consider x3 and y3 and look for an integer between them that is not a perfect cube. If there is then the cube root of that number will meet your requirements.If not, try x4 and y4 and then x5 and y5 etc. In a school exercise you are extremely unlikely to have to go as far as the cubes!



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https://math.answers.com/math-and-arithmetic/How_can_you_find_irrational_number_between_any_two_number

How can you find irrational number between any two number? - Answers

There are infinitely many Irrational Numbers between any two numbers - rational or irrational.Suppose x and y are two irrational numbers.Consider x2 and y2. Is there any integer between them that is not a perfect square? If so, the square root of that number is an irrational between x and y.If not, consider x3 and y3 and look for an integer between them that is not a perfect cube. If there is then the cube root of that number will meet your requirements.If not, try x4 and y4 and then x5 and y5 etc. In a school exercise you are extremely unlikely to have to go as far as the cubes!

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      There are infinitely many Irrational Numbers between any two numbers - rational or irrational.Suppose x and y are two irrational numbers.Consider x2 and y2. Is there any integer between them that is not a perfect square? If so, the square root of that number is an irrational between x and y.If not, consider x3 and y3 and look for an integer between them that is not a perfect cube. If there is then the cube root of that number will meet your requirements.If not, try x4 and y4 and then x5 and y5 etc. In a school exercise you are extremely unlikely to have to go as far as the cubes!

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