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

    $x = 2$

    $x = -2$

    $x = 0$

    $x = 0 \, or \, x = 2$

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

    $0$

    $1$

    $2$

    $3$

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

    $-7$

    $7$

    $3$

    $-3$

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

    $12$

    $16$

    $-12$

    $-16$

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

    $1$

    $2$

    $3$

    $4$

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

    $1$

    $2$

    $3$

    $4$

Basic operations

Rationalizing denominator

Radical equations & inequalities