Radical Properties

Simplify the radical expression.

• A

• B

• C

• D

Simplify the radical expression.A

• A

• B

• C

• D

Simplify the radical expression.

• A

• B

• C

• D

Simplify the radical expression.

• A

• B

• C

• D

• x = -6
• x = 3
• x = -3
• x = 5±

• A
• B
• C
• D

• it is the sum of two rational numbers.

• it is the sum of two irrational numbers.

• it represents a non-terminating, non-repeating decimal.

• its terms cannot be combined.

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.

• Sometimes rational, sometimes irrational; The product of two irrationals is sometimes rational, sometimes irrational

Is the result rational or irrational? Explain.

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

• Sometimes rational, sometimes irrational; The sum of two irrationals is sometimes rational, sometimes irrational.

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

• Sometimes rational, sometimes irrational; The product of two irrationals is sometimes rational, sometimes irrational

Solve the radical equation. Don't forget to check your answers!

• x = -6

• x = 3

• x = 7/3

• x = -5