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 simplify  solutionBecause of 3√x in the denominator, multiply numerator and denominator by (3√x)2 and simplify  solutionBecause of the expression √3 - √2 in the denominator, multiply numerator and denominator by its conjugate √3 + √2 to obtain
 solutionBecause of the expression 3√(x2) in the denominator, multiply numerator and denominator by (3√(x2))2 to obtain
Simplify and cancel terms   solutionBecause of the expression y + √(x2+y2) in the denominator, multiply numerator and denominator by its conjugate y - √(x2 + y2) to obtain
Questions 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
Home Page
