Factor
\frac{\sqrt{5}\sqrt{x}\left(2\sqrt{x}+3\right)}{2}
Evaluate
\frac{\sqrt{5x}\left(2\sqrt{x}+3\right)}{2}
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\frac{2\sqrt{5}x+2\sqrt{5}\sqrt{x}+\sqrt{5}\sqrt{x}}{2}
Factor out \frac{1}{2}.
\sqrt{5}\sqrt{x}\left(2\sqrt{x}+3\right)
Consider 2\sqrt{5}x+2\sqrt{5}\sqrt{x}+\sqrt{5}\sqrt{x}. Factor out \sqrt{5}\sqrt{x}.
\frac{\sqrt{5}\sqrt{x}\left(2\sqrt{x}+3\right)}{2}
Rewrite the complete factored expression.
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