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  • Tests in basic operations with radicals
Test Title:

Tests in basic operations with radicals

There are 3 tests inside this topic. Click the button below to change currently active quiz.

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Current: Test in Multiplying Square roots
  • Q1:
    1 pts
    Is the following statement true or false? $\sqrt{2} \cdot \sqrt{3} = \sqrt{6}$ ?
  • Q2:
    2 pts
    Is the following statement true or false? $\sqrt{-1} \cdot \sqrt{-1} = \sqrt{1}$ ?
  • Q3:
    1 pts
    Simplify $\sqrt{2} \cdot \sqrt{8}$
    $\sqrt{16}$
    $-4$
    $4$
    $2\sqrt{2}$
  • Q4:
    2 pts
    $\sqrt{x} \cdot \sqrt{x} = x$ for every $x \in \mathbb{R}$
  • Q5:
    2 pts
    Multiply $(-3\sqrt{3}) \cdot (-2\sqrt{3})$

    9

    18

    27

    36

  • Q6:
    2 pts
    Multiply $4\sqrt{2} \cdot 3\sqrt{3}$
    $12\sqrt{5}$
    $12\sqrt{6}$
    $7\sqrt{5}$
    $7\sqrt{6}$
  • Q7:
    2 pts
    Evaluate $3\sqrt{6} \cdot 4\sqrt{3}$
    $6\sqrt{2}$
    $12\sqrt{18}$
    $36\sqrt{2}$
  • Q8:
    3 pts
    Evaluate $(\sqrt{3}-\sqrt{2})(\sqrt{3}+\sqrt{2})$

    -3

    -1

    1

    3

  • Q9:
    3 pts
    Evaluate ${(\sqrt{x}+1)}^2-2\sqrt{x}$ if $x>0$
    $x+1$
    $2\sqrt{x}$
    $x-1$
    $-2\sqrt{x}$
  • Q10:
    3 pts
    Evaluate $(\sqrt{535}+\sqrt{525}) \cdot (\sqrt{535}-\sqrt{525})$

    5

    10

    15

    20

  • Q11:
    3 pts
    $\left((\sqrt{2} + \sqrt{3}) + \sqrt{6}\right) \cdot \left((\sqrt{2} + \sqrt{3}) - \sqrt{6}\right)$
    $\sqrt{6}+1$
    $\sqrt{6}-1$
    $1+2\sqrt{6}$
    $2\sqrt{6}-1$