Add and subtract radicals.
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Simplify the following:
$${2\sqrt{3}+3\sqrt{3}}$$
$${3\sqrt{12}-\sqrt{27}}$$
Is this statement always, sometimes, or never true? Explain your reasoning.
$${\sqrt{a}+\sqrt b=\sqrt{a+b}}$$
Find the perimeter of a right triangle with legs of length of $${6\sqrt 2}$$ and $${\sqrt 3}$$.
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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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Simplify $${\sqrt{8}+5\sqrt{2}}$$.
Geometry > Module 2 > Topic D > Lesson 23 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..
Write a radical addition or subtraction problem that cannot be simplified, and explain why it cannot be simplified.
Geometry > Module 2 > Topic D > Lesson 23 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..