Multiplying Square Roots Test

Is the following statement true or false?  \(\sqrt{2} \cdot \sqrt{3} = \sqrt{6}\) ?

Is the following statement true or false? \(\sqrt{-1} \cdot \sqrt{-1} = \sqrt{1}\) ?

Simplify the expression \(\sqrt{2} \cdot \sqrt{8}\)

\(\sqrt{x} \cdot \sqrt{x} = x\) for every \(x \in \mathbb{R}\)

Multiply \((-3\sqrt{3}) \cdot (-2\sqrt{3})\)

Multiply \(4\sqrt{2} \cdot 3\sqrt{3}\)

Evaluate \(3\sqrt{6} \cdot 4\sqrt{3}\)

Evaluate \((\sqrt{3}-\sqrt{2})(\sqrt{3}+\sqrt{2})\)

Evaluate \({(\sqrt{x}+1)}^2-2\sqrt{x}\) if \(x>0\)

Evaluate \((\sqrt{535}+\sqrt{525}) \cdot (\sqrt{535}-\sqrt{525})\)

Evaluate \(\left((\sqrt{2} + \sqrt{3}) + \sqrt{6}\right) \cdot \left((\sqrt{2} + \sqrt{3}) – \sqrt{6}\right)\)