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 radicals
Examples with Solutions
The following identities may be used to rationalize denominators of rational expressions.
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Examples
Rationalize the denominators of the following expressions and simplify if possible.
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Because of in the denominator, multiply numerator and denominator by and simplify
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Because of in the denominator, multiply the numerator and denominator by and simplify.
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Because of the expression in the denominator, multiply the numerator and denominator by the conjugate of which is to obtain:
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Because of the expression in the denominator, multiply the numerator and denominator by to obtain
Simplify and cancel terms:
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Because of the expression in the denominator, multiply numerator and denominator by its conjugate to obtain
Questions
Rationalize the denominators of the following expressions and simplify if possible.
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Solutions to the Above Problems
Multiply numerator and denominator by
Multiply numerator and denominator by
and simplify
Multiply numerator and denominator by
and simplify
Multiply numerator and denominator by
and simplify
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