Add. Assume that all variables represent positive real numbers. $$ \begin{array}{l}5 \sqrt{3 x^{3}}+2 x \sqrt{27 x} \ 5 \sqrt{3 x^{3}}+2 x \sqrt{27 x}= \ \text { (Type an exact answer, using radicals as needed. Simplify your answer.) }\end{array} $$

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Calculate or simplify the expression $$ 5\sqrt{3x^3}+2x\sqrt{27x} $$.
Simplify the expression by following steps:
- step0: Solution:
  $$5\sqrt{3x^{3}}+2x\sqrt{27x}$$
- step1: Simplify the root:
  $$5x\sqrt{3x}+2x\sqrt{27x}$$
- step2: Simplify the root:
  $$5x\sqrt{3x}+2x	imes 3\sqrt{3x}$$
- step3: Multiply the terms:
  $$5x\sqrt{3x}+6x\sqrt{3x}$$
- step4: Rewrite the expression:
  $$5\sqrt{3x}	imes x+6\sqrt{3x}	imes x$$
- step5: Collect like terms:
  $$\left(5+6ight)\sqrt{3x}	imes x$$
- step6: Add the numbers:
  $$11\sqrt{3x}	imes x$$
The simplified expression is $$11\sqrt{3x} 	imes x$$.
The simplified expression is $$11x\sqrt{3x}$$.

Add. Assume that all variables represent positive real numbers.

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