Practice Rationalization - 1.7 | 1. Pure Arithmetic | ICSE Class 9 Maths
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Practice Questions

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Question 1

Easy

Rationalize \( \frac{1}{\sqrt{5}} \).

💡 Hint: Remember to multiply both parts by the square root.

Question 2

Easy

Rationalize \( \frac{2}{\sqrt{3}} \).

💡 Hint: Use the square root in the numerator.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is rationalization?

  • Removing square roots from equations
  • Removing square roots from the denominator
  • Adding fractions together

💡 Hint: Think about why we might not want roots in a denominator.

Question 2

True or False: The conjugate of \( a + b \) is \( a - b \).

  • True
  • False

💡 Hint: What is meant by conjugates?

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Rationalize \( \frac{x}{\sqrt{x} + 1} \) where \( x \) is a positive number.

💡 Hint: Think about how you can simplify the expression.

Question 2

Rationalize \( \frac{2x+3}{\sqrt{3x} + 4} \) where \( x \) is positive.

💡 Hint: Use factoring principles to help simplify the binomial.

Challenge and get performance evaluation