CHILD DEVELOPMENT PEDAGOGY

Detailed explanation-1: -To eliminate the radical in the denominator, we will multiply the numerator and the denominator of the fraction by the same radical that is in the denominator. This will undo the radicals and leave a whole number in the denominator. Such a number is called the rationalization factor.

Detailed explanation-2: -When we have a fraction with a root in the denominator, like 1/√2, it’s often desirable to manipulate it so the denominator doesn’t have roots. To do that, we can multiply both the numerator and the denominator by the same root, that will get rid of the root in the denominator.

Detailed explanation-3: -Rationalizing the denominator means the process of moving a root, for instance, a cube root or a square root from the bottom of a fraction (denominator) to the top of the fraction (numerator). This way, we bring the fraction to its simplest form thereby, the denominator becomes rational.

Detailed explanation-4: -The reason is that if we need to add or subtract fractions with radicals, it’s easier to compute if there are whole numbers in the denominator instead of irrational numbers. For example, it’s easier to add (2√3/3) + (( 3−√2)/7) than the non-rationalized version: (2/√3) +(1 / (3 + √2)).