# Rationalize Denominators of Radical Expressions Questions with Solutions for Grade 10

Grade 10 questions on how to rationalize radicals expressions with solutions are presented.

 To rationalize radical expressions with denominators is to express the denominator without radicals The following identities may be used to rationalize denominators of rational expressions. Examples Rationalize the denominators of the following expressions and simplify if possible. Solution Because of √2 in the denominator, multiply numerator and denominator by √2 and simplify Solution Because of 3√x in the denominator, multiply numerator and denominator by (3√x)2 and simplify Solution Because of the expression √3 - √2 in the denominator, multiply numerator and denominator by its conjugate √3 + √2 to obtain Solution Because of the expression 3√(x2) in the denominator, multiply numerator and denominator by (3√(x2))2 to obtain Simplify and cancel terms Solution Because of the expression y + √(x2+y2) in the denominator, multiply numerator and denominator by its conjugate y - √(x2 + y2) to obtain Questions With Answers Rationalize the denominators of the following expressions and simplify if possible. Solutions to the Above Problems Multiply numerator and denominator by √5 and simplify Multiply numerator and denominator by √2 - √3 Multiply numerator and denominator by (3√(x4))2 and simplify Multiply numerator and denominator by y - √(x2 + y2) and simplify

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