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anonymous

  • 4 years ago

How do I express this equation into simplest radical form? χ÷√3=√6? The answer is 3√2 but why and how?

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  1. anonymous
    • 4 years ago
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    isolate x by multiplying \[\sqrt{3} * \sqrt{6}\]

  2. anonymous
    • 4 years ago
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    \[\sqrt{a}*\sqrt{b}=\sqrt{a*b}\]

  3. anonymous
    • 4 years ago
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    ohh.. wait so I just transfer sq. root of 3 to the right? There's nothing i have to do with the x/sq.root of 3?

  4. anonymous
    • 4 years ago
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    You multiply both sides by \[\sqrt{3}\]

  5. anonymous
    • 4 years ago
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    This will isolate x, then you can simplify the square root of 18

  6. anonymous
    • 4 years ago
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    ahh, i see. thank you!

  7. phi
    • 4 years ago
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    notice they want simplest radical form so \[\frac{x}{\cancel{\sqrt{3}}}\cdot \cancel{\sqrt{3}}= \sqrt{6\cdot3}= \sqrt{2\cdot3\cdot3}= 3\sqrt{2}\]

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