1.7 - Rationalization
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Practice Questions
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Rationalize \( \frac{1}{\sqrt{5}} \).
💡 Hint: Remember to multiply both parts by the square root.
Rationalize \( \frac{2}{\sqrt{3}} \).
💡 Hint: Use the square root in the numerator.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is rationalization?
💡 Hint: Think about why we might not want roots in a denominator.
True or False: The conjugate of \( a + b \) is \( a - b \).
💡 Hint: What is meant by conjugates?
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Challenge Problems
Push your limits with advanced challenges
Rationalize \( \frac{x}{\sqrt{x} + 1} \) where \( x \) is a positive number.
💡 Hint: Think about how you can simplify the expression.
Rationalize \( \frac{2x+3}{\sqrt{3x} + 4} \) where \( x \) is positive.
💡 Hint: Use factoring principles to help simplify the binomial.
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