Practice Rationalization (1.7) - Pure Arithmetic

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6 sample questions

Question 1.
Rationalize $\frac{1}{\sqrt{5}}$ .
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Remember to multiply both parts by the square root.
Question 2.
Rationalize $\frac{2}{\sqrt{3}}$ .
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Use the square root in the numerator.
3Question 3.
What is rationalization?
- Removing square roots from equations
- Removing square roots from the denominator
- Adding fractions together
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Think about why we might not want roots in a denominator.
4Question 4.
True or False: The conjugate of $a + b$ is $a - b$ .
- True
- False
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What is meant by conjugates?
Question 5.
Rationalize $\frac{x}{\sqrt{x} + 1}$ where $x$ is a positive number.
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Think about how you can simplify the expression.
Question 6.
Rationalize $\frac{2x+3}{\sqrt{3x} + 4}$ where $x$ is positive.
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Use factoring principles to help simplify the binomial.

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