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Math Help - Need abit of help with simplifying

  1. #1
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    Need abit of help with simplifying

    Hi everyone,

    I am trying to brush up with my maths and i have not done that bad at working some questions out, but i am stuck on a certain question and i can not work it out to be the answer that the website saying the question gives you.

    The question is simplify

    sqrt(90)  x  sqrt(600000)

    and the answer is

    3000 sqrt(6)

    I have got to

    sqrt(90)  x  sqrt(600000) = sqrt(54000000)

    But i can not work out how to simplify that

    Any help will be great

    Thanks
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  2. #2
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    skeeter's Avatar
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    Re: Need abit of help with simplifying

    Quote Originally Posted by sentel View Post
    Hi everyone,

    I am trying to brush up with my maths and i have not done that bad at working some questions out, but i am stuck on a certain question and i can not work it out to be the answer that the website saying the question gives you.

    The question is simplify

    sqrt(90)  x  sqrt(600000)

    and the answer is

    3000 sqrt(6)

    I have got to

    sqrt(90)  x  sqrt(600000) = sqrt(54000000)

    But i can not work out how to simplify that

    Any help will be great

    Thanks
    \sqrt{90}  \cdot  \sqrt{600000}

    \sqrt{9 \cdot 10}  \cdot  \sqrt{10000 \cdot 4 \cdot 15}

    \sqrt{9} \cdot \sqrt{10}  \cdot  \sqrt{10000} \cdot \sqrt{4} \cdot \sqrt{15}}

    3 \cdot \sqrt{10}  \cdot  100 \cdot 2 \cdot \sqrt{15}}

    600 \sqrt{10 \cdot 15}

    600 \sqrt{25 \cdot 6}

    600 \sqrt{25} \cdot \sqrt{6}

    600 \cdot 5 \cdot \sqrt{6}

    3000 \sqrt{6}
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  3. #3
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    e^(i*pi)'s Avatar
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    Re: Need abit of help with simplifying

    Quote Originally Posted by sentel View Post
    Hi everyone,

    I am trying to brush up with my maths and i have not done that bad at working some questions out, but i am stuck on a certain question and i can not work it out to be the answer that the website saying the question gives you.

    The question is simplify

    sqrt(90)  x  sqrt(600000)

    and the answer is

    3000 sqrt(6)

    I have got to

    sqrt(90)  x  sqrt(600000) = sqrt(54000000)

    But i can not work out how to simplify that

    Any help will be great

    Thanks
    Alternatively you can factor 54000000 into terms that are easier to deal with

    \sqrt{54 \times 10^6} = \sqrt{54} \times \sqrt{10^6} = \sqrt{9} \times \sqrt{6} \times \sqrt{10^6}
     = 3 \times 1000 \times \sqrt{6} = 3000\sqrt{6}
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  4. #4
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    Re: Need abit of help with simplifying

    Thank you thats brilliant
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  5. #5
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    Re: Need abit of help with simplifying

    Just a quick question how did you get

    600\sqrt{25 \cdot 6}

    from

    600\sqrt{10 \cdot 15}

    Thanks
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  6. #6
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    e^(i*pi)'s Avatar
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    Re: Need abit of help with simplifying

    Quote Originally Posted by sentel View Post
    Just a quick question how did you get

    600\sqrt{25 \cdot 6}

    from

    600\sqrt{10 \cdot 15}

    Thanks
    25 \times 6 = 10 \times 15 = 150. In other words 25 and 6 are factors of 150 like 10 and 15.


    Alternatively you can split 10 and 15 into their factors 10 \times 15 = (2 \times 5) \times (3 \times 5) = 6 \times 25
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  7. #7
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    Re: Need abit of help with simplifying

    Arh doh thank you
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