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aubreyrve

  • 8 months ago

MEDALS FOR BEST RESPONSE!!!!! can someone simplify this step by step because I don't understand it 4sqrt(6) over sqrt(30)

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  1. YanaSidlinskiy
    • 8 months ago
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    @johnweldon1993 ? This guy is smart!!!:)

  2. johnweldon1993
    • 8 months ago
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    Lol well thank you @YanaSidlinskiy :) \[\large \frac{4\sqrt{6}}{\sqrt{30}}\] Can be seen as \[\large 4 \times \sqrt{\frac{6}{30}}\] Does that help at all?

  3. johnweldon1993
    • 8 months ago
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    Because remember \[\large \frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}\]

  4. aubreyrve
    • 8 months ago
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    No, I still don't understand that sorry can you brake it down or something? @johnweldon1993

  5. YanaSidlinskiy
    • 8 months ago
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    Your Welcome:)

  6. johnweldon1993
    • 8 months ago
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    Yeah sure... \[\large \frac{4\sqrt{6}}{\sqrt{30}}\] Alright....we can just ignore that 4 for now...why? because it is just multiplying whatever we get as a result... so we can do that later :) So all we have is \[\large 4 \times \frac{\sqrt{6}}{\sqrt{30}}\] It IS important to remember rules such as \[\large \frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}\] so that means we can turn \[\large \frac{\sqrt{6}}{\sqrt{30}} \large {\rightarrow} \sqrt{\frac{6}{30}}\] alright?

  7. johnweldon1993
    • 8 months ago
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    The next step would be...simplify what is inside the radical... *hint...looks like each number is divisible by 6*

  8. johnweldon1993
    • 8 months ago
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    Alright well since I see you have left..I'll just keep going here to help out anyone who might need it... so we now have \[\large 4 \times \sqrt{\frac{6}{30}}\] Lets simplify that radical....both numbers are divisible by 6.... What is 6 divided by 6? 1 what is 30 divided by 6? 5 So now we have \[\large 4 \times \sqrt{\frac{1}{5}}\] Remember that little rule we wrote above? \[\large \frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}\] This means we can work backwards this time...and write \[\large \sqrt{\frac{1}{5}} \rightarrow \frac{\sqrt{1}}{\sqrt{5}}\] So NOW we have \[\large 4 \times \frac{\sqrt{1}}{\sqrt{5}}\] Just 1 little simplification here...what is the square root of 1? Just 1 ...so we have \[\large 4 \times \frac{1}{\sqrt{5}}\] And finally we multiply that by 4...to get \[\large \frac{4}{\sqrt{5}}\]

  9. YanaSidlinskiy
    • 8 months ago
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    Told you!!! He's smart!!

  10. aubreyrve
    • 8 months ago
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    ok, thank you I understand @johnweldon1993

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