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  • Radicals
  • Tests on solving radical equations and inequalities
  • Solving equations with radicals

Solving equations with radicals

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  • Question 1:
    1 pts
    		Which of these is radical equation?
    x+2=3x + \sqrt{2} = 3
    x+2=3x + 2 = \sqrt{3}
    x+2=3\sqrt{x} + 2 = 3
  • Question 2:
    1 pts
    		Which of these is not a radical equation?
    x+1=x+1\sqrt{x+1} = \sqrt{x+1}
    x+2=xx + 2 = \sqrt{x}
    x+2=23x + \sqrt{2} = \sqrt{23}
  • Question 3:
    1 pts
    		Find the solution x2=x\sqrt{x^2} = \sqrt{x}

    x=2x = 2

    x=−2x = -2

    x=0x = 0

    x=0 or x=2x = 0 \, or \, x = 2

  • Question 4:
    1 pts
    		The equation −x=2\sqrt{-x} = 2 has no soultions.
  • Question 5:
    2 pts
    		Which equation does not have a solution?
    −x=−2-\sqrt{x} = -2
    x=2\sqrt{x} = 2
    −−x=−2-\sqrt{-x} = -2
    −x=−2\sqrt{-x} = -2
  • Question 6:
    2 pts
    		Which equation does not have a solution?
    x=−x\sqrt{x} = \sqrt{-x}
    −x=−x-\sqrt{x} = \sqrt{-x}
    1−x=x−1\sqrt{1-x} = \sqrt{x-1}
    1+x=x−1\sqrt{1+x} = \sqrt{x-1}
  • Question 7:
    2 pts
    		What is the solution of x−1−1=−1\sqrt{x-1}-1=-1?

    00

    11

    22

    33

  • Question 8:
    2 pts
    		What is the solution of x+2+4=7\sqrt{x+2}+4=7

    −7-7

    77

    33

    −3-3

  • Question 9:
    3 pts
    		What is the solution of x−12−x=−2\sqrt{x-12}-\sqrt{x} = -2

    1212

    1616

    −12-12

    −16-16

  • Question 10:
    3 pts
    		What is the solution of x+7=22\sqrt{x+7} = 2\sqrt{2}

    11

    22

    33

    44

  • Question 11:
    3 pts
    		What is the solution of x2−4x+9=x−1\sqrt{x^2-4x+9} = x-1

    11

    22

    33

    44

Basic operations

Rationalizing denominator

Radical equations & inequalities