What is the correct first step in solving $3\sqrt{x-5}=12$?

Solve: the fourth root of (x + 3) equals 4.

An investment is multiplied by the same factor in each of 4 equal years and ends up 625 times its opening value. What is the factor for one step?

Solve $\sqrt{x-9}+4=12$.

Assume x is positive. In simplest radical form, what is $\sqrt{10x^2}$ times $\sqrt{12x}$?

What is $4^{-3/2}$, written as a reduced fraction?

How does the graph of $f(x)=\sqrt{x-5}-4$ compare with the graph of $y=\sqrt{x}$?

What is the domain of $f(x)=\sqrt{2x-10}+2$, in interval notation?

Assume x is positive. In simplest radical form, what is $\sqrt{12x}$ times $\sqrt{2x^3}$?

What is the cube root of 343?

Solve $\sqrt{x-6}+6=9$.

In simplest radical form, what is $(\sqrt{6}-2)(\sqrt{6}-5)$?

A stockpile is multiplied by the same factor in each of 6 equal months and ends up 64 times its starting amount. What is the factor for one month?

Assume x is positive. In simplest radical form, what is 2 $\sqrt{8x}-\sqrt{2x}$?

Solve $\sqrt{x-2}+9=14$.

Written with a rational exponent, what is the fifth root of $x^3$?

The expression $(160x^3{)}^{1/4}$ is rewritten as a radical. What is the index of that radical?

Assume x is positive. In simplest radical form, what is $\sqrt{10x^3}$ times $\sqrt{14x^3}$?

A student wrote $\sqrt{x^2+144}=x+12$. Assuming x is positive, what is wrong?

Written with no radical in the denominator and in simplest form, what is $31/(6-\sqrt{5})$?

Assume x is positive. In simplest radical form, what is $\sqrt{12x^2}$ times $\sqrt{14x}$?

After solving: the cube root of (2x + 1) equals 2, why is no check for extraneous solutions needed?

Assume x is positive. Written with no radical in the denominator and in simplest form, what is $25/\sqrt{5x}$?

Written with no radical in the denominator and in simplest form, what is 5 divided by the cube root of 25?

What is the fourth root of -625 as a real number?

Assume all variables are positive. In simplest radical form, what is $\sqrt{160x^3}$?

Assume x is positive. Written with no radical in the denominator and in simplest form, what is $14/\sqrt{2x}$?

How does the graph of $f(x)=\sqrt{x+3}+7$ compare with the graph of $y=\sqrt{x}$?

Solve $\sqrt{x-2}+6=8$.

In simplest radical form, what is $(\sqrt{5}-3)(\sqrt{5}-3)$?

Solve $\sqrt{x-5}+6=8$.

How does the graph of $f(x)=-\sqrt[3]{x-2}+6$ compare with the graph of $y=\sqrt[3]{x}$?

Assume all variables are positive. In simplest radical form, what is $\sqrt{126x^5}$?

Written with no radical in the denominator and in simplest form, what is 9 divided by the cube root of 4?

The variable x may be any real number. In simplest form, what is $\sqrt{36x^{10}}$?

A student wrote $\sqrt{x^2+25}=x+5$. Assuming x is positive, what is wrong?

What is $625^{-2/4}$, written as a reduced fraction?

Solve: the fifth root of (3x + 5) equals 2.

Assume all variables are positive. In simplest radical form, what is $\sqrt{24x^8}$?

Solve: the fifth root of (2x + 6) equals 2.