Algebraic Radical Expressions

√243

• 3√3

• 9√3

• 81√3

• 3√81

Simplify completely.

• 8√3xy

• y√24xy

• 8y√3xy

• 8√24x

Simplify completely.

• k√36k

• 6k√6k

• 6k√2k

• 6√k³

Simplify completely.

• bc√147ab

• 7√3ab³c²

• 7bc√3a

• 7bc√3ab

Multiply the radicals
(-7+√3)(4+√3)

• -21-3√3

• 37+11√3

• 21-3√3

• 21+11√3

Multiply the radicals
(5√5+4√3)(3√8+√3)

• 60√10+5√15+24√6+12

• 30√10+5√15+4√9

• 60√10+5√15+48√6+36

• 30√10+5√15+24√6+12

Simplify each radical expression. Assume that no variable has a value that results in a denominator with a value of zero.

(16 - x²)/(x² - 8x + 16)

• (x - 4)/(x - 4)

• (x + 4)/(x - 4)

• -1(x - 4)/(x + 4)

• -1(x + 4)/(x - 4)

Simplify each radical expression. Assume that no variable has a value that results in a denominator with a value of zero.

(3x - 12)/(x² - 16)

• 3/(x - 4)

• 3/(x + 4)

• (x - 4)/3

• (x + 4)/3

Simplify each radical expression. Assume that no variable has a value that results in a denominator with a value of zero.

(x² - 2x - 15)/(x² - 8x + 15)

• (x + 3)/(x - 3)

• (x + 1)/(x - 3)

• (x + 3)/(x - 1)

• (x - 3)/(x + 1)

Simplify each radical expression. Assume that no variable has a value that results in a denominator with a value of zero.

(3x³ + 8x² - 16x)/(x³ - x² - 20x)

• (3x - 4)/(x + 5)

• (3x + 4)/(x - 5)

• (3x - 4)/(x - 5)

• (3x + 4)/(x + 5)