To simplify \(\sqrt{5} \cdot \sqrt{30}\), we can use the property of square roots that states \(\sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b}\).
So, we have:
\[ \sqrt{5} \cdot \sqrt{30} = \sqrt{5 \cdot 30} \]
Now, calculate \(5 \cdot 30\):
\[ 5 \cdot 30 = 150 \]
Therefore:
\[ \sqrt{5} \cdot \sqrt{30} = \sqrt{150} \]
Next, we can simplify \(\sqrt{150}\). We can factor \(150\) as follows:
\[ 150 = 25 \cdot 6 = 5^2 \cdot 6 \]
Now, we can simplify \(\sqrt{150}\):
\[ \sqrt{150} = \sqrt{25 \cdot 6} = \sqrt{25} \cdot \sqrt{6} = 5\sqrt{6} \]
Thus, the expression \(\sqrt{5} \cdot \sqrt{30}\) in simplest radical form is:
\[ \boxed{5\sqrt{6}} \]
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