Multiply and simplify. Assume that all variables represent non-negative numbers.

Ask by Davison Hilton. in the United States

Feb 04,2025

Question

Multiply and simplify. Assume that all variables represent non-negative numbers. $$ (5 x \sqrt{18 x})(6 \sqrt{6 x}) $$

UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ (5x\sqrt{18x})(6\sqrt{6x}) $$.
Simplify the expression by following steps:
- step0: Solution:
  $$\left(5x\sqrt{18x}ight)\left(6\sqrt{6x}ight)$$
- step1: Remove the parentheses:
  $$5x\sqrt{18x}	imes 6\sqrt{6x}$$
- step2: Simplify the root:
  $$5x	imes 3\sqrt{2x}	imes 6\sqrt{6x}$$
- step3: Multiply the terms:
  $$90x\sqrt{2x}	imes \sqrt{6x}$$
- step4: Multiply the terms:
  $$90x	imes 2\sqrt{3}	imes x$$
- step5: Multiply the terms:
  $$180\sqrt{3}	imes x	imes x$$
- step6: Multiply the terms:
  $$180\sqrt{3}	imes x^{2}$$
The simplified form of the expression $$ (5x\sqrt{18x})(6\sqrt{6x}) $$ is $$ 180\sqrt{3} 	imes x^{2} $$.
The simplified form is $$ 180\sqrt{3} 	imes x^{2} $$.

Multiply and simplify. Assume that all variables represent non-negative numbers.

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