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  • Radicals
  • Tests in basic operations with radicals
  • Simplifying Radicals

Simplifying Radicals

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  • Question 1:
    1 pts
    		Is the following statement true or false? $$\sqrt{-36} = -6$$
  • Question 2:
    1 pts
    		Is the following statement true or false? $$\sqrt{25} = \pm5$$
  • Question 3:
    1 pts
    		Is the following statement true or false? $$\sqrt{50} = 5\sqrt{2}$$
  • Question 4:
    1 pts
    		Is the following statement true or false? $$3\sqrt{2} = \sqrt{6}$$
  • Question 5:
    2 pts
    		Which of the following expressions is true?
    $4\sqrt{3}=\sqrt{12}$
    $-4\sqrt{3}=\sqrt{-12}$
    $-4\sqrt{3}=-\sqrt{48}$
  • Question 6:
    2 pts
    		Simplify $\sqrt{18}$
    $9\sqrt{2}$
    $3\sqrt{2}$
    $9$
    $2\sqrt{3}$
  • Question 7:
    2 pts
    		Simplify $2\sqrt{72}$
    $12\sqrt{3}$
    $6\sqrt{2}$
    $12\sqrt{2}$
    $6\sqrt{3}$
  • Question 8:
    2 pts
    		$\sqrt{45}$ is between which two consecutive whole numbers?
    3 and 4
    4 and 5
    5 and 6
    6 and 7
  • Question 9:
    2 pts
    		$\sqrt{120}$ is between what two consecutive whole numbers?
    9 and 10
    10 and 11
    11 and 12
    12 and 13
  • Question 10:
    1 pts
    		Is the following statement true or false? $$\sqrt{-3} = -\sqrt{3}$$
  • Question 11:
    2 pts
    		Estimate $\sqrt{150}$ to the nearest whole number.

    $11$

    $12$

    $13$

    $14$

  • Question 12:
    3 pts
    		Which radical cannot be simplified?
    $\sqrt{98}$
    $\sqrt{72}$
    $\sqrt{110}$
    $\sqrt{120}$
  • Question 13:
    3 pts
    		Simplify $\sqrt{160000}$

    $40$

    $400$

    $4000$

    $40000$

  • Question 14:
    1 pts
    		Is the following statement true or false? $$\sqrt{x^2} =x$$
  • Question 15:
    3 pts
    		Simplify $\sqrt{8x^3}$
    $|x|\sqrt{8x}$
    $2|x|\sqrt{x}$
    $2|x|\sqrt{2x}$
    $2\sqrt{2x^3}$

Basic operations

Rationalizing denominator

Radical equations & inequalities