Rationalize Denominators
Questions with Solutions
Grade 10 questions on how to rationalize radical expressions with solutions are presented.
To rationalize radical expressions with denominators is to express the denominator without radicalsThe following identities may be used to rationalize denominators of rational expressions.ExamplesRationalize the denominators of the following expressions and simplify if possible.solutionBecause of √2 in the denominator, multiply numerator and denominator by √2 and simplifysolutionBecause of ^{3}√x in the denominator, multiply numerator and denominator by (^{3}√x)^{2} and simplifysolutionBecause of the expression √3  √2 in the denominator, multiply numerator and denominator by its conjugate √3 + √2 to obtainsolutionBecause of the expression ^{3}√(x^{2}) in the denominator, multiply numerator and denominator by (^{3}√(x^{2}))^{2} to obtainSimplify and cancel terms solutionBecause of the expression y + √(x^{2}+y^{2}) in the denominator, multiply numerator and denominator by its conjugate y  √(x^{2} + y^{2}) to obtainQuestions With AnswersRationalize the denominators of the following expressions and simplify if possible.
Solutions to the Above Problems

More References and links
Simplify Radical Expressions  Questions with Solutions for Grade 10High School Maths (Grades 10, 11 and 12)  Free Questions and Problems With Answers
Middle School Maths (Grades 6, 7, 8, 9)  Free Questions and Problems With Answers
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