Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Discover comprehensive solutions to your questions from a wide network of experts on our user-friendly platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Which choice is equivalent to the expression below when x  0?

√18X^30-√9X^3+3√X^3-√2X^3

A.2√2X
B.4√X
C.2X√2X
D.√10X^3

Sagot :

[tex]\sqrt{18x^3}-\sqrt{9x^3}+3\sqrt{x^3}-\sqrt{2x^3}\\\\=\sqrt{9x^2\cdot2x}-\sqrt{9x^2\cdot x}+3\sqrt{x^2\cdot x}-\sqrt{x^2\cdot2x}\\\\=3x\sqrt{2x}-3x\sqrt{x}+3x\sqrt{x}-x\sqrt{2x}=2x\sqrt{x}\\\\Answer:C.[/tex]
[tex]\sqrt{18x^3}-\sqrt{9x^3}+3\sqrt{x^3}-\sqrt{2x^3}=\\ 3\sqrt{2x^3}-3\sqrt{x^3}+3\sqrt{x^3}-\sqrt{2x^3}=\\ 2\sqrt{2x^3}=\\ 2x\sqrt{2x}\Rightarrow C[/tex]