P6.5: Solving Radical Equations - Two Day Assignment

3-\sqrt[4]{x}=0

\sqrt{6x-5}+10=3

7=(7x-1)^{\frac{1}{2}}+11

17-2\sqrt{3x+10}=1

(27-2x)^{\frac{1}{4}}=(x-3)^{\frac{1}{4}}

\frac{\sqrt[4]{7w-5}}{2}=\sqrt[4]{w-2}

8x=7x+(12-x)^{\frac{1}{2}}

\sqrt{5y-15}=y-3

Check the directions for formatting

\sqrt{6c+15}=c+4

\sqrt{x-21}=\sqrt{x}+3

-7+(16p+8)^{\frac{1}{3}}=-1

\sqrt{3k-29}=\sqrt{41-2k}

\sqrt{63-2x}=x

How can you check your work when you solve radical equations?

Review

Simplify \sqrt{x^3}\cdot\sqrt[3]{x}.

Enter your answer in simplest radical form.

Review

Simplify (\frac{63}{7})^{-\frac{1}{2}}.

Enter your answer in simplest radical form.

Review.

Write the expression in exponential form. Distribute any exponents and simplify all fractions.

\sqrt[4]{12a^{6}b^{8}}

Review:

Simplify the expression. Enter your answer in simplest radical form.

(3\sqrt{3}-2)(4\sqrt{3}+5)

Review:

Use exponent rules to simplify the expression. Enter your answer in simplest radical form.

\frac{m^{2}}{\sqrt[3]{m}}

Review:

Simplify. Enter your answers in simplest radical form.

5\sqrt[3]{-3w^{2}}\cdot 2\sqrt[3]{36w^{3}}