A2.EO.2.b: Add, subtract, multiply, and divide radical expressions that include numeric and algebraic radicands, simplifying the result. Simplification may include rationalizing the denominator.

Add, subtract, multiply, and divide radical expressions that include numeric and algebraic radicands, simplifying the result. Simplification may include rationalizing the denominator.

Example Problems

Find

\lim_{x \to 0} \frac{\sqrt{3x + 36} -6}{x}

.

Find

\lim_{x \to 0} \frac{x}{\sqrt{9x + 16} - 4}

Find

\lim_{x \to 3} \frac{x - 3}{\sqrt{4x + 4} -4}

.

Khan Academy Resources

Evaluate radical expressions challenge Rewriting mixed radical and exponential expressions Evaluating mixed radicals and exponents

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