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You wont be able to add a rational number and an irrational number and get a number not in a fraction ( 3 + 22/7) (21/7 + 22/7 = 43/7) So, yes as you see in the example above it made another irrational number.
7 plus the square root of 5 is an irrational number because the square root of 5 is a never ending decimal number that can't be expressed as a fraction.
Pi, the numerical value of the ratio of the circumference of a circle to its diameter.
1). Any number that you can write down completely, using digits, decimal point, and fraction bar, is a rational number. So yes, 5/7 is rational. 2). Any number that can be written as the ratio of two whole numbers is rational. 5/7 is the ratio of 5 to 7. So yes, it is rational.