Simplifying Algebraic Radical

Simplify:

• A

• B

• C

• D

Solve:

• a

• b

• c

• d

Simplify

• 
• 
• 
• 

What number can be written under the radical to make a true statement?

• 405

• 18,225

• 3,645

• 45

Solve:

• a

• b

• c

• d

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)

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

(2x² + 5x - 3)/(4x² - 8x + 3)

• (x - 3)/(2x + 3)

• (x + 3)/(2x - 3)

• (x + 3)/(2x + 3)

• (x - 3)/(2x - 3)

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

(7x - x²)/(x³- 5x² - 14x)

• -x/x(x + 2)

• (x + 2)

• -1/(x + 2)

• 1/(x + 2)

√72

• 7√9

• 4√6

• 6√2

• 3√4

√45

• 3√5

• 5√3

• 9√5

• 5√9