What is the simplified form of this expression? `sqrt(8x^3 + 24x^2 + 18x)` A. ±(2x + 3)`sqrt(2x)` B. ±(4x + 6) `sqrt(2x)` C. ±(2x + 3)`sqrt(x)` D. ±(4x + 6)`sqrt(x)`

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InSync asked May 22, 2022

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What is the simplified form of this expression? `sqrt(8x^3 + 24x^2 + 18x)` A. ±(2x + 3)`sqrt(2x)` B. ±(4x + 6) `sqrt(2x)` C. ±(2x + 3)`sqrt(x)` D. ±(4x + 6)`sqrt(x)`

Mathematics
high-school

InSync asked May 22, 2022

by InSync

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Answer: B

`sqrt(8x^3 + 24x^2 + 18x)` = `sqrt(8x (x + 3/2))` = `sqrt(2x (4x + 6))` = ±(4x + 6) `sqrt(2x)`

KevD answered May 29, 2022

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