P6.5: Solving Radical Equations - Two Day Assignment
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Last updated almost 4 years ago
20 questions
Note from the author:
Solve each equation. Enter answers as simply numbers, no letters. If there are two answers, put them in increasing order, separated by a comma and a space, for example: -2, 4. Check for extraneous solutions. If there are no solutions, type no solution. Do not capitalize.
There are some review questions at the end of the assignment.
For a quick review, watch this video (and the ones in the sidebar).
Solve each equation. Enter answers as simply numbers, no letters. If there are two answers, put them in increasing order, separated by a comma and a space, for example: -2, 4. Check for extraneous solutions. If there are no solutions, type no solution. Do not capitalize.
There are some review questions at the end of the assignment.
For a quick review, watch this video (and the ones in the sidebar).
1
3-\sqrt[4]{x}=0
3-\sqrt[4]{x}=0
1
\sqrt{6x-5}+10=3
\sqrt{6x-5}+10=3
1
7=(7x-1)^{\frac{1}{2}}+11
7=(7x-1)^{\frac{1}{2}}+11
1
17-2\sqrt{3x+10}=1
17-2\sqrt{3x+10}=1
1
(27-2x)^{\frac{1}{4}}=(x-3)^{\frac{1}{4}}
(27-2x)^{\frac{1}{4}}=(x-3)^{\frac{1}{4}}
1
\frac{\sqrt[4]{7w-5}}{2}=\sqrt[4]{w-2}
\frac{\sqrt[4]{7w-5}}{2}=\sqrt[4]{w-2}
1
8x=7x+(12-x)^{\frac{1}{2}}
8x=7x+(12-x)^{\frac{1}{2}}
1
\sqrt{5y-15}=y-3Check the directions for formatting
\sqrt{5y-15}=y-3
Check the directions for formatting
1
\sqrt{6c+15}=c+4
\sqrt{6c+15}=c+4
1
\sqrt{x-21}=\sqrt{x}+3
\sqrt{x-21}=\sqrt{x}+3
1
-7+(16p+8)^{\frac{1}{3}}=-1
-7+(16p+8)^{\frac{1}{3}}=-1
1
\sqrt{3k-29}=\sqrt{41-2k}
\sqrt{3k-29}=\sqrt{41-2k}
1
\sqrt{63-2x}=x
\sqrt{63-2x}=x
1
How can you check your work when you solve radical equations?
How can you check your work when you solve radical equations?
1
ReviewSimplify \sqrt{x^3}\cdot\sqrt[3]{x}.
Enter your answer in simplest radical form.
Review
Simplify \sqrt{x^3}\cdot\sqrt[3]{x}.
Enter your answer in simplest radical form.
1
Review Simplify (\frac{63}{7})^{-\frac{1}{2}}.
Enter your answer in simplest radical form.
Review
Simplify (\frac{63}{7})^{-\frac{1}{2}}.
Enter your answer in simplest radical form.
1
Review.Write the expression in exponential form. Distribute any exponents and simplify all fractions.
\sqrt[4]{12a^{6}b^{8}}
Review.
Write the expression in exponential form. Distribute any exponents and simplify all fractions.
\sqrt[4]{12a^{6}b^{8}}
1
Review:Simplify the expression. Enter your answer in simplest radical form.
(3\sqrt{3}-2)(4\sqrt{3}+5)
Review:
Simplify the expression. Enter your answer in simplest radical form.
(3\sqrt{3}-2)(4\sqrt{3}+5)
1
Review:Use exponent rules to simplify the expression. Enter your answer in simplest radical form.
\frac{m^{2}}{\sqrt[3]{m}}
Review:
Use exponent rules to simplify the expression. Enter your answer in simplest radical form.
\frac{m^{2}}{\sqrt[3]{m}}
1
Review: Simplify. Enter your answers in simplest radical form.
5\sqrt[3]{-3w^{2}}\cdot 2\sqrt[3]{36w^{3}}
Review:
Simplify. Enter your answers in simplest radical form.
5\sqrt[3]{-3w^{2}}\cdot 2\sqrt[3]{36w^{3}}