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Because that is the definition of Irrational Numbers: They are the numbers that cannot be written as a ratio of two integers! A fraction is a ratio of two integers.
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How do you write an irrational number in algebra?
There is no representation for irrational numbers: they are represented as real numbers that are not rational. The set of real numbers is R and set of rational numbers is Q so that the set of irrational numbers is the complement if Q in R.
What is the cube root of 6 in fraction?
Most square roots, cube roots, etc. - including this one - are irrational numbers. That means you can't write them exactly as a fraction. Of course, you can calculate the cubic root with a calculator or with Excel, then find a fraction that is fairly close to it.
Is pi 3.1415 ect?
Pi is a type of number called an irrational number. That means it cannot be written as a fraction. If we write the decimal representation of Pi, the first 4 numbers after the decimal are 1415 but it does continue on forever and there is no repeating patterns. The fact that is cannot be written as a fraction is equivalent to saying its decimal repesentation goes on forever. This is because if we COULD write it as a fractions, say by contradition the Pi is 3.14159 exactly (by contradiction means we know it is not) Then we could simply take this number and multiply the numerator and denominatory by 100000 and we would have a fraction, namely 314159/100000, but this means Pi is rational and it is not. THIS IS NOT a proof that pi is irrational. That proof is not too hard, but I will wait for someone to ask for it.
Is -8 a rational or irrational number?
rational. The fact that you could write it out in a fraction proves that it is.
What is the biggest and smallest fraction you can write with 3 4 and 5?
Smallest Fraction: 3/(4*5)Largest Fraction: (4*5)/3Smallest Mixed Fraction: 3 4/5Largest Mixed Fraction: 5 4/3 = 6 1/3Smallest Fraction (Digits): 3/54Largest Fraction (Digits): 5/34Small numbers divided by large numbers yield small numbers; large numbers divided by small numbers yield large numbers.
