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  • Radicals
  • Tests in basic operations with radicals
  • Adding and subtracting square roots

Adding and subtracting square roots

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  • Question 1:
    1 pts
    		Is the following statement true or false? $$\sqrt{2} + \sqrt{3} = \sqrt{5}$$
  • Question 2:
    1 pts
    		Is the following statement true or false? $$\sqrt{25-9} = \sqrt{16}$$
  • Question 3:
    1 pts
    		Is the following statement true or false? $$7\sqrt{3} - 4\sqrt{3} = 3\sqrt{3}$$
  • Question 4:
    1 pts
    		Simplify $2\sqrt{2}+\sqrt{3}$
    $\sqrt{7}$
    $\sqrt{12}$
    $\sqrt{14}$
    cannot be simplified
  • Question 5:
    1 pts
    		Simplify $2\sqrt{5} - 3\sqrt{5}$
    $\sqrt{5}$
    $5\sqrt{5}$
    $-\sqrt{5}$
    cannot be simplified
  • Question 6:
    2 pts
    		Simplify $\sqrt{3} + \sqrt{12}$
    $3\sqrt{3}$
    $\sqrt{15}$
    $5\sqrt{3}$
    cannot be simplified
  • Question 7:
    2 pts
    		Simplify $\sqrt{50} - 2\sqrt{8}$
    $-\sqrt{2}$
    $-3\sqrt{2}$
    $\sqrt{2}$
    cannot be simplified
  • Question 8:
    2 pts
    		Simplify $\sqrt{2} + \sqrt{8}+ \sqrt{18}$
    $12\sqrt{2}$
    $6\sqrt{2}$
    $4\sqrt{2}$
    cannot be simplified
  • Question 9:
    3 pts
    		Simplify $3\sqrt{27} - \sqrt{12} + \sqrt{48}$
    $2\sqrt{12}$
    $9\sqrt{12}$
    $11\sqrt{3}$
    $\sqrt{3}$
  • Question 10:
    3 pts
    		Simplify $$\frac{\sqrt{2}}2 - \frac{\sqrt{8}}4$$

    $0$

    $1$

    $2$

    $3$

  • Question 11:
    3 pts
    		Simplify $$\frac{3\sqrt{8}}4 + \frac{2\sqrt{50}}3-\frac{3\sqrt{72}}4$$
    $\frac{\sqrt{2}}2$
    $2\sqrt{2}$
    $3\sqrt{2}$
    $\frac{\sqrt{2}}3$
  • Question 12:
    3 pts
    		If $x>0$ than $2\sqrt{x^3}+3\sqrt{4x^3}$
    $8x\sqrt{x}$
    $8\sqrt{x^3}$
    $14x\sqrt{x}$
    $14\sqrt{x^3}$

Basic operations

Rationalizing denominator

Radical equations & inequalities