Add and subtract rational exponent expressions and radical expressions.
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The statement below is incorrect. Explain why it is incorrect and then correct the statement.
$${\sqrt9+\sqrt9=\sqrt{18}}$$
Which statements below are true? Select all that apply.
a. $${2\sqrt3+\sqrt3=3\sqrt3}$$
b. $${10\sqrt5-5\sqrt5=5}$$
c. $${\sqrt2+\sqrt[3]{2}=2\sqrt2}$$
d. $${4\sqrt8-3\sqrt8=\sqrt8}$$
e. $${5\sqrt{8}-2\sqrt{6}=3\sqrt2}$$
f. $${8\sqrt[n]{x}-6\sqrt[n]{x}=2\sqrt[n]{x}}$$
Compute and simplify.
a. $${\sqrt{48}+2\sqrt{27}-3\sqrt{12}}$$
b. $${-5\sqrt{20}-\sqrt{72}+\sqrt{125}}$$
c. $${(\sqrt[3]{16}+\sqrt[3]{54})^3}$$
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The following resources include problems and activities aligned to the objective of the lesson. They can be used to create a problem set for class (for non-Fishtank Plus users), or as supplementary or additional resources to the pre-made Problem Set (for Fishtank Plus users).
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Compute and simplify.
a. $${\sqrt{8a}-\sqrt{32a}}$$
b. $${8\sqrt{18}-4\sqrt{8}-\sqrt{24}}$$
c. $${\sqrt{3}(2\sqrt{18}+\sqrt{32})}$$