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  • Radicals
  • Tests in basic operations with radicals
  • Multiplying square roots

Multiplying square roots

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  • Question 1:
    1 pts
    		Is the following statement true or false? $\sqrt{2} \cdot \sqrt{3} = \sqrt{6}$ ?
  • Question 2:
    2 pts
    		Is the following statement true or false? $\sqrt{-1} \cdot \sqrt{-1} = \sqrt{1}$ ?
  • Question 3:
    1 pts
    		Simplify $\sqrt{2} \cdot \sqrt{8}$
    $\sqrt{16}$
    $-4$
    $4$
    $2\sqrt{2}$
  • Question 4:
    2 pts
    		$\sqrt{x} \cdot \sqrt{x} = x$ for every $x \in \mathbb{R}$
  • Question 5:
    2 pts
    		Multiply $(-3\sqrt{3}) \cdot (-2\sqrt{3})$

    $9$

    $18$

    $27$

    $36$

  • Question 6:
    2 pts
    		Multiply $4\sqrt{2} \cdot 3\sqrt{3}$
    $12\sqrt{5}$
    $12\sqrt{6}$
    $7\sqrt{5}$
    $7\sqrt{6}$
  • Question 7:
    2 pts
    		Evaluate $3\sqrt{6} \cdot 4\sqrt{3}$
    $6\sqrt{2}$
    $12\sqrt{18}$
    $36\sqrt{2}$
  • Question 8:
    3 pts
    		Evaluate $(\sqrt{3}-\sqrt{2})(\sqrt{3}+\sqrt{2})$

    $-3$

    $-1$

    $1$

    $3$

  • Question 9:
    3 pts
    		Evaluate ${(\sqrt{x}+1)}^2-2\sqrt{x}$ if $x>0$
    $x+1$
    $2\sqrt{x}$
    $x-1$
    $-2\sqrt{x}$
  • Question 10:
    3 pts
    		Evaluate $(\sqrt{535}+\sqrt{525}) \cdot (\sqrt{535}-\sqrt{525})$

    $5$

    $10$

    $15$

    $20$

  • Question 11:
    3 pts
    		$\left((\sqrt{2} + \sqrt{3}) + \sqrt{6}\right) \cdot \left((\sqrt{2} + \sqrt{3}) - \sqrt{6}\right)$
    $\sqrt{6}+1$
    $\sqrt{6}-1$
    $1+2\sqrt{6}$
    $2\sqrt{6}-1$

Basic operations

Rationalizing denominator

Radical equations & inequalities