Most radicals of integers are irrational numbers, and for reasons that I will leave to a university mathematics professor, we try to avoid irrational denominators. This is mostly a convention of convenience, but the point of rationalizing a denominator is to change the expression so that the denominator becomes a rational number.
@@quakquakhoe9494 Well, you probably think it's funny assuming that the point of college is to be "more correct". It's not, but a lot of students on the left half of the bell curve think that. Your HS teachers were probably teaching the common convention, and were grading for it. Your professors likely understood that equivalent fractions are equivalent. The fun part about college math is that you rarely encounter an integer larger than 10...but the important part is that you learn the language of math.
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Really clear thanks
Never understood why this is taught, a radical is still a number
Most radicals of integers are irrational numbers, and for reasons that I will leave to a university mathematics professor, we try to avoid irrational denominators. This is mostly a convention of convenience, but the point of rationalizing a denominator is to change the expression so that the denominator becomes a rational number.
@@teebob21it’s funny because in my college level classes my profs don’t care, but my hs teachers always did.
@@quakquakhoe9494 Well, you probably think it's funny assuming that the point of college is to be "more correct". It's not, but a lot of students on the left half of the bell curve think that. Your HS teachers were probably teaching the common convention, and were grading for it. Your professors likely understood that equivalent fractions are equivalent. The fun part about college math is that you rarely encounter an integer larger than 10...but the important part is that you learn the language of math.
There is nothing rational about this