Polynomial Rational and Radical Relationships Practice

∛8

• 2

• -2

• ±2

• None

• 10z√(3xy)
• 5z√(12xy)
• 10√(3xyz²)
• 3z√(10xy)

• x = 49
• x = 53
• x = 45
• x = 18

• x = -6
• x = 3
• x = -3
• x = 5±

Is the result rational or irrational? Explain.

• Rational; The sum of two rationals is always rational.

• Irrational; The sum of a rational and an irrational is always irrational.

• Rational; The product of two rationals is always rational.

• Irrational; The product of a nonzero rational and an irrational is always irrational.

Question 9

• No solutions

• 2

• 1

• -4

• 7

• 5

• -7

• -5

Identify the LCD.

• x²(x - 2)

• x(x - 2)

• x

• (x - 2)

Solve for x

• x = -3

• x = -3, 5

• x = 3, 5

• x = 5

Write the following expression in radical form:

• a.)

• b.)

• c.)

• d.)