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Rationalise the Denominator of the Following √ 3 + 1 √ 2 - CBSE Class 9 - Mathematics

ConceptOperations on Real Numbers

Question

Rationalise the denominator of the following

(sqrt3 + 1)/sqrt2

Solution

We know that rationalization factor for 1/sqrta is sqrta.We will multiply numerator and denominator of the given expression (sqrt3 + 1)/sqrt2 by sqrt2 to get

(sqrt3 + 1)/sqrt2 xx sqrt2/sqrt2 = (sqrt2 xx sqrt3 + sqrt2)/(sqrt2 xx sqrt2)

= (sqrt6 + sqrt2)/2

Hence the given expression is simplified to (sqrt6 + sqrt2)/2

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Solution Rationalise the Denominator of the Following √ 3 + 1 √ 2 Concept: Operations on Real Numbers.
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