Quiz 6.2 - rad ops & solve eqns & inverses

Last updated almost 4 years ago
16 questions
1

Simplify. Write final answers in simplest radical form, no spaces.

8\sqrt[4]{32}-\sqrt[4]{162}

1

Simplify. Write final answers in simplest radical form, no spaces.

\sqrt[3]{-3x^{2}}\cdot \sqrt[3]{24x^{5}}

1

Simplify. Write final answers in simplest radical form, no spaces.

\sqrt{2}(\sqrt{5}-6\sqrt{12})+\sqrt{40}

1

Simplify. Write your answers in simplest radical form.

(4\sqrt{7}+3)(6\sqrt{7}-1)

1

Simplify. Write your answers in simplest radical form.

(\sqrt{3}+\sqrt{2})^{2}

1

Simplify. Write your answers in simplest radical form.

\frac{-8\sqrt{140}}{2\sqrt{5}}

1

Simplify. Write your answers in simplest radical form.

\frac{\sqrt{8m^{2}}}{\sqrt{2m}}

1

Simplify. Write your answers in simplest radical form.

2^{\frac{1}{2}}\cdot 2^{3}

1

Simplify. Write your answers in simplest radical form.

(y^{2})^{\frac{3}{4}}

1

Simplify. Write your answers in simplist radical form.

\frac{\sqrt{c^{3}}}{\sqrt[4]{c^{5}}}

2

Match the functions to their inverses.

Draggable itemCorresponding Item
f(x) = (x+3)^{2}
f(x) = \sqrt{x}
f(x) = x^{3}
f(x) = \sqrt[3]{x}
f(x) = x^{2}
f(x) = \frac{1}{2}x
f(x) = x+3
f(x) = x-3
f(x) = 2x
f(x) = \sqrt{x}-3
1

Solve the equation. Check for extraneous solutions. Enter your answer as a number. If you have two solutions, list them in increasing order separated by a comma and a space. If there are no solutions, type "none".

-2\sqrt{6x+3}=-18

1

Solve the equation. Check for extraneous solutions. Enter your answer as a number. If you have two solutions, list them in increasing order separated by a comma and a space. If there are no solutions, type "none".

\sqrt[3]{19y+40}=3\sqrt[3]{y}

1

Solve the equation. Check for extraneous solutions. Enter your answer as a number. If you have two solutions, list them in increasing order separated by a comma and a space. If there are no solutions, type "none".

(3c-21)^{\frac{1}{2}}=c-7

1

Solve the equation. Check for extraneous solutions. Enter your answer as a number. If you have two solutions, list them in increasing order separated by a comma and a space. If there are no solutions, type "none".

\sqrt{72-n}=n

1

How can you determine if your solution to a radical equation is correct?