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Can this be explained simply the expression and factor out the radical in your final answer. Assume x is a nonnegative real number please

Can This Be Explained Simply The Expression And Factor Out The Radical In Your Final Answer Assume X Is A Nonnegative Real Number Please class=

Sagot :

The given expression is:

[tex]2\sqrt[]{18x^3}+\sqrt[]{50x}[/tex]

Simplify as follows:

[tex]\begin{gathered} 2\sqrt[]{18x^3}+\sqrt[]{50x}=2\sqrt[]{3\times3\times2\times x^2\times x}+\sqrt[]{5\times5\times2\times x} \\ =2\times3\times x\sqrt[]{2x}+5\sqrt[]{2x} \\ =6x\sqrt[]{2x}+5\sqrt[]{2x} \\ =\sqrt[]{2x}(6x+5) \end{gathered}[/tex]

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