Rationalize Denominators of Radical Expressions
Questions with Solutions for Grade 10

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 radicals

The following identities may be used to rationalize denominators of rational expressions.
equation 1

Rationalize the denominators of the following expressions and simplify if possible.
equation 2

Because of √2 in the denominator, multiply numerator and denominator by √2 and simplify
equation 3

Because of ³√x in the denominator, multiply numerator and denominator by (³√x)² and simplify
equation 5

Because of the expression √3 - √2 in the denominator, multiply numerator and denominator by its conjugate √3 + √2 to obtain
equation 7

Because of the expression ³√(x²) in the denominator, multiply numerator and denominator by (³√(x²))² to obtain
equation 9

Simplify and cancel terms
equation 10

Because of the expression y + √(x²+y²) in the denominator, multiply numerator and denominator by its conjugate y - √(x² + y²) to obtain
equation 12

Rationalize the denominators of the following expressions and simplify if possible.
equation 13