Plz help will medal
a rational number and an irrational number that are between 9.5 and 9.7. Include the decimal approximation of the irrational number to the nearest hundredth.
Stacey Warren - Expert brainly.com
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Aha! This is how to find an infinite amount of irrational numbers between them...
square one of the numbers...
(9.5)² = 90.25
now add a decimal to it, like 0.1...
(we're adding because we started from the smaller number, therefor would be subtracting if from the larger number)
≈ 9.51 (to the nearest hundredth)
Note: we're using the fact that the square root of anything that isn't a perfect square is irrational. so, as long as the decimal that you're adding to the square (or subtracting from the larger amount squared) does not combine to give a perfect square, then you're ok)