Assume x is positive. In simplest radical form, what is 2 $\sqrt{27x}-\sqrt{3x}$?

Solve $x^{3/5}=8$.

What is the fourth root of 1296?

A student solves $x^{3/4}=16$ by multiplying both sides by 4/3 and reports x = 21.333. What is wrong?

Multiply $(4x^5/(6y))\ast (15y^3/(4x^2))$ and write the result in lowest terms.

The variable x may be any real number. In simplest form, what is $\sqrt{4x^6}$?

Solve: the fourth root of (x + 6) equals 3.

Solve $4x^{3/4}-9=99$.

A student simplifies $(x^2-8x+15)/(x^2+x-30)$ to (x - 3)/(x + 6) and reports that x = -6 is the only restriction. Which restriction did the student lose?

Assume x is positive. In simplest radical form, what is $\sqrt{50x}-3\sqrt{2x}$?

Solve $x^{5/3}=243$.

Simplify $(3-x)/(x^2+2x-15)$ to lowest terms and state the values x cannot take.

Solve (2x)/(x - 5) = 10/(x - 5) + x. Give the solution set, rejecting any candidate that makes a denominator zero.

Multiply $((x-4)/(x+1))\ast ((x^2-x-2)/(x^2-8x+16))$ and write the result in lowest terms.

Simplify (1/x + 1/9)/(2/x) to lowest terms.

To clear the radical from the denominator of $6/(\sqrt{x}+3)$, by what expression should both the numerator and denominator be multiplied?

Solve $x^{2/3}=36$ for all real solutions.

Which expression reduces to (x + 3)/(x - 4) with x not equal to 4 or 2?

In simplest radical form, what is $(3\sqrt{5}+3)(2\sqrt{5}-5)$?

Solve 4/x + 1/4 = 6/x. Give the solution set, rejecting any candidate that makes a denominator zero.

Simplify (1/x + 1/8)/(5/x) to lowest terms.

Clearing denominators in $x^2/(x-5)=25/(x-5)$ gives x = 5 and x = -5. Which candidate is extraneous?

The quantity y varies directly as x, and y = 18 when x = 6. What is y when x = 9?

Simplify $(x^2-7x+6)/(x^2+5x-6)$ to lowest terms and state the values x cannot take.

The quantity y varies inversely as x, and y = 20 when x = 10. What is y when x = 4?

Solve $x^{3/2}=27$.

The quantity y varies inversely as x, and y = 12 when x = 6. What is y when x = 12?

To solve 1/(x + 3) + 2/x = 5, what least common denominator should every term be multiplied by?

What is the range of $f(x)=\sqrt{x+1}-5$, in interval notation?

Solve (7x)/(x + 6) = -42/(x + 6) + x. Give the solution set, rejecting any candidate that makes a denominator zero.

The quantity z varies jointly as x and y, and z = 27 when x = 3 and y = 3. What is z when x = 6 and y = 7?

What is the equation of the horizontal asymptote of $f(x)=(3x^2-6)/(5x^2+x+7)$?

What is the square root of 49?

What is $16^{4/2}$?

How does the graph of $f(x)=-\sqrt[3]{x+1}-5$ compare with the graph of $y=\sqrt[3]{x}$?

Clearing denominators in x/(x - 1) = 1/(x - 1) + 2 gives the candidate x = 1. Which statement about x = 1 is correct?

A bacterial colony is multiplied by the same factor in each of 3 equal intervals and ends up 216 times its initial count. What is the factor for one step?

A graph has a vertical asymptote at x = -3, a horizontal asymptote at y = 0, and passes through the point (1, 1/4). Which equation could it be?

What is the domain of $f(x)=\sqrt{3x-18}+1$, in interval notation?

Clearing denominators in x/(x - 2) = 2/(x - 2) + 6 gives the candidate x = 2. Which statement about x = 2 is correct?

Solve (3x)/(x - 5) = 15/(x - 5) + x. Give the solution set, rejecting any candidate that makes a denominator zero.

What is the fourth root of -16 as a real number?

Assume x is positive. In simplest radical form, what is 4 $\sqrt{27x}-\sqrt{3x}$?

Simplify (1/x - 1/9)/(1/x + 1/9) to lowest terms.

Assume all variables are positive. In simplest radical form, what is the cube root of $189x^4$?

What is the fifth root of -32 as a real number?

To clear the radical from the denominator of $5/(\sqrt{x}-7)$, by what expression should both the numerator and denominator be multiplied?

Simplify $(9/x)/(18/x^2)$ to lowest terms.

What is $32^{4/5}$?

An investment is multiplied by the same factor in each of 3 equal years and ends up 27 times its opening value. What is the factor for one step?

Written in radical form, what is $(6y{)}^{2/4}$?

Simplify $(x^3+64)/(x^2-16)$ to lowest terms and state the values x cannot take.

Simplify (1/x + 1/4)/(3/x) to lowest terms.

A student solves $x^{5/2}=64$ by multiplying both sides by 2/5 and reports x = 25.6. What is wrong?

Solve $x^{2/5}=16$ for all real solutions.

In simplest radical form, what is $(\sqrt{6}-3)(2\sqrt{6}-5)$?

The quantity z varies jointly as x and y, and z = 18 when x = 3 and y = 3. What is z when x = 2 and y = 9?

The graph of $f(x)=(x^2+7x+12)/(x+4)$ has one hole. At which point is it?

For the complex fraction (1/x + 1/8)/(1/2 - 1/x), what is the most efficient first step?

Add 5/(x - 5) + 4/(x + 2) and write the result with the denominator in factored form.