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Why Do We Rationalize The Denominator
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After simplifying an expression if there is a radical in the denominator we will rationalize it so that the denominator is left without any radicals We start by rationalizing denominators with square roots and then extend this idea to higher roots
1 51 Historically we think about rationalized fractions as being reduced to lower terms compared with non rationalized fractions And we always want to have our fractions reduced to the lowest possible terms The reason rationalized fractions are in lower terms is because before we had calculators it was easier to do the long division for a
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Rationalize The Denominator YouTube
Rationalize The Denominator YouTube
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
The goal of rationalizing the denominator is that we want no radical in the denominator when done Multiplying 2 5 2 5 does not eliminate the radical in the denominator You can see this as you multiply it out 2 5 2 5 4 2 5 2 5 V 2 4 4 5 5 9 4 5
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Why Do We Rationalize The Denominator Notes Math Love
Why Do We Rationalize The Denominator Notes Math Love
To rationalize the denominator means to eliminate any radical expressions in the denominator such as square roots and cube roots The key idea is to multiply the original fraction by an appropriate value such that after simplification the denominator no longer contains radicals
Rationalization is a process that finds application in elementary algebra where it is used to eliminate the irrational number in the denominator There are many rationalizing techniques which are used to rationalize the denominator The word rationalize literally means making something more efficient
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1 51 Historically we think about rationalized fractions as being reduced to lower terms compared with non rationalized fractions And we always want to have our fractions reduced to the lowest possible terms The reason rationalized fractions are in lower terms is because before we had calculators it was easier to do the long division for a
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5 You ve heard it time and time again Rationalize the denominator Make sure to rationalize the denominator But why Who decided that getting the root out of the denominator and
1 51 Historically we think about rationalized fractions as being reduced to lower terms compared with non rationalized fractions And we always want to have our fractions reduced to the lowest possible terms The reason rationalized fractions are in lower terms is because before we had calculators it was easier to do the long division for a
5 You ve heard it time and time again Rationalize the denominator Make sure to rationalize the denominator But why Who decided that getting the root out of the denominator and
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