Rationals and Radicals Test

What is the 1st step for solving the radical equation?

• Isolate the radical then add 6 to both sides

• Isolate the radical then subtract 6 to both sides

• Isolate the radical then divide both sides by -6

Tags

CCSS.HSA.REI.A.2

Identify the LCD.

• x²(x - 2)

• x(x - 2)

• x

• (x - 2)

Tags

CCSS.HSA.REI.A.2

State the domain restrictions. 

• x ≠ -2

• x ≠ 2, 1

• x ≠ 2, -1

• x ≠ -2, 2, 1

What is the first step of Radical Equations?

• Check for extraneous solutions.

• Raise each side of the equation to the power of the index.

• Isolate the radical on one side of equations.

• Solve the remaining equation.

Tags

CCSS.HSA.REI.A.2

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.

Tags

CCSS.HSN.RN.B.3

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.

Tags

CCSS.HSN.RN.B.3

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

Tags

CCSS.HSN.RN.B.3

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.

Tags

CCSS.HSN.RN.B.3

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.

Tags

CCSS.HSN.RN.B.3

Find the area of the rectangle shown.

• 18√20

• 12√10 + 6√2

• 9√12

• 36√5