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To the lower number, add an irrational number that is less than the difference. For example, if the difference between the two numbers is 0.001 (1/1000), you can add the square root of 2 divided by 2000; pi divided by 4000, or the number "e" divided by 3000, to the lower number.
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Can you find irrational numbers between 7 and 8?
72 = 49 and 82 = 64. So, the square root of any integer between these two numbers, for example, sqrt(56), is irrational.
How do you find an irrational no between 0.365789 and 0.365478?
Find the difference between the two numbers, then add an irrational number between zero and one, divided by this difference, to the lower number. Such an irrational number might be pi/10, (square root of 2) / 2, etc.
What is four irrational numbers closest to 6 on the number line?
Irrational numbers are infinitely dense. Between any two numbers, there are infinitely many irrational numbers. So if it was claimed that some irrational, x, was the closest irrational to 6, it is possible to find an infinite number of irrationals between 6 and x. Each one of these infinite number of irrationals would be closer to 6 than x. So the search for the nearest irrational must fail.
How do you find three irrational numbers between 4 5?
Any number that can't be expessed as a fraction is an irrational number as for example the square root of 4.5
How do you find an irrational number between two irrational numbers?
There may be many easier and better ways, but here's how I would do it: -- Square the first given irrational number. -- Square the second irrational number. -- Pick a nice ugly complicated decimal between the two squares. -- Take the square root of the number you picked. It's definitely between the two given numbers, and it would be a miracle if it's not irrational.
