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Is that a different display system than the decimal one or is that [math] \sqrt{75 a^2 b^3 c} [/math] ?

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The key to your problem is using the fact that [math] \sqrt{xY} = \sqrt{x} \cdot \sqrt{Y} [/math]. Using that, try to pull out as many factors as possible. I´ll give you a first step, you´ll have to do the others yourself:

[math] \sqrt{75a^2b^3c} = \sqrt{b^2} \cdot \sqrt{75a^2b^1c} = b \sqrt{75a^2bc} [/math]

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