Step 1 Enter the numerator and the denominator value in the input field Step 2 Now click the button "Rationalize Denominator" to get the output Step 3 The result will be displayed in the output field What is Rationalization of a Number?
Rationalize the denominator of (3-sqrt(2))/(3sqrt(2))-See the answer See the answer See the answer done loading Show transcribed image text Expert Answer Who are the experts?Step 1 Multiply the numerator and the denominator by a radical to get rid of the radicals in the denominator Step 2 Make sure that all radicals are simplified Step 3 Simplify the fraction, if necessary For Example Rationalize
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For example, in the article's second image we see (7√3) / (2√7), then a dot, then (√7 / √7) That means we multiply the first fraction by the second fraction (numerator times numerator, and denominator times denominator), giving us (7√21) / 14, which simplifies to √21 / 2 (Incidentally, the article shows some other dots that are not between fractions Those are merely Example18 Rationalize the denominator of 1/ (2√3) To rationalize, We multiply and divide by 2 root 3 Let's check the video 1/ (2√3) = 1/ (2√3) × (2 −√3)/ (2−√3) = (2 −√3)/ (22− (√3)2) = (2 −√3)/ (4−3) = (2 −√3)/1 = 2 √3 Made by
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