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    Simplify, 6 root 2 MUTIPLY 5 root 3 MINUS root 24


    Please could somebody help me answer this question. I'm finding difficulty in getting the right answer and would appreciate help from you guys

    Thanks
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    Well \sqrt{2} \times \sqrt{3} = \sqrt{2 \times 3}, and \sqrt{24} = \sqrt{4 \times 2 \times 3}. How might this help you? [Hint: can you see any square numbers?]
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    (Original post by nuodai)
    Well \sqrt{2} \times \sqrt{3} = \sqrt{2 \times 3}, and \sqrt{24} = \sqrt{4 \times 2 \times 3}. How might this help you? [Hint: can you see any square numbers?]
    Yes, thanks, would root 24 become 2 root 3 root 2 ?

    If that's right, what do i do now plz?? (If wrong, where have i gone wrong :P)

    I multiplied the first two bits to get 30+ 6 root 3 + 5 root 2 +root 6 - 2 root 2 root 3

    Is that even right?
    btw i really appreciate your help
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    (Original post by TheWonderKid)
    Yes, thanks, would root 24 become 2 root 3 root 2 ?

    If that's right, what do i do now plz?? (If wrong, where have i gone wrong :P)

    I multiplied the first two bits to get 30+ 6 root 3 + 5 root 2 +root 6 - 2 root 2 root 3

    Is that even right?
    btw i really appreciate your help
    I think you've stuck in some + signs where they're not supposed to be (either that or you missed some out in your first post).

    You have 6\sqrt{2} \times 5\sqrt{3} - \sqrt{24}.

    You've worked out (correctly) that \sqrt{24} = 2\sqrt{2}\sqrt{3}.

    Also note that the general rule is that a\sqrt{b} \times c\sqrt{d} = ac\sqrt{b}\sqrt{d}. So how might you simplify it? [Hint: look for common factors.]

    Also it's usually neater to write \sqrt{6} instead of \sqrt{2}\sqrt{3}.
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    Ahh GOT IT!

    6\sqrt{2} \times 5\sqrt{3} = 30\sqrt{6}

    And then you take 2 \sqrt{6} away from this which gives you 28\sqrt{6} which is the final answer?

    Is that right?

    Thankyou ever so much for your help
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    (Original post by TheWonderKid)
    Ahh GOT IT!

    6\sqrt{2} \times 5\sqrt{3} = 30\sqrt{6}

    And then you take 2 \sqrt{6} away from this which gives you 28\sqrt{6} which is the final answer?

    Is that right?

    Thankyou ever so much for your help
    That's right No problem.
 
 
 
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