Multiply and divide radicals. Rationalize the denominator.
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Simplify the following:
$${\sqrt{32}}$$
$${\sqrt{5^{10}}}$$
$${\sqrt{4x^4}}$$
Geometry > Module 2 > Topic D > Lesson 22 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Modified by The Match Foundation, Inc.Each of these statements are TRUE for some values. Identify the excluded values, then describe what the statement says about the property. Feel free to use an example.
Statement 1: $${\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}}$$
Statement 2: $${\sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}=\frac{\sqrt{ab}}{b}}$$
Statement 3: $${c\sqrt{a}\cdot d\sqrt{b}=cd\sqrt{ab}}$$
Find the area of the triangle below.
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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What is the value of $$x$$ that will make the following equation true? Explain your reasoning.
$$\sqrt{5}\cdot3\sqrt{x}=15\sqrt{6}$$
Write each expression in its simplest radical form.
$${\sqrt{243}=}$$
$${\sqrt\frac{7}{5}=}$$
Geometry > Module 2 > Topic D > Lesson 22 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..