Hey there! Sign in to join this conversationNew here? Join for free
    • Thread Starter
    Offline

    1
    ReputationRep:
    What is 51-14 sqrt 2 divided by 3 -2 sqrt 2
    • Offline

      3
      (Original post by Elisa2000)
      What is 51-14 sqrt 2 divided by 3 -2 sqrt 2
      It's a secret
      Spoiler:
      Show
      multiply top and bottom by 3+2 sqrt 2
      • Thread Starter
      Offline

      1
      ReputationRep:
      (Original post by EricPiphany)
      It's a secret
      Spoiler:
      Show
      multiply top and bottom by 3+2 sqrt 2
      What did you get overall?
      • Offline

        3
        (Original post by Elisa2000)
        What did you get overall?
        I didn't. What did you get?
        • Thread Starter
        Offline

        1
        ReputationRep:
        (Original post by EricPiphany)
        I didn't. What did you get?
        I got 41 -20 sqrt 2
        • Community Assistant
        • Welcome Squad
        Offline

        20
        ReputationRep:
        (Original post by Elisa2000)
        I got 41 -20 sqrt 2
        Try again.
        • Thread Starter
        Offline

        1
        ReputationRep:
        (Original post by RDKGames)
        Try again.
        Well, could you show me what the right answer is? Without using a calculator
        • Community Assistant
        • Welcome Squad
        Offline

        20
        ReputationRep:
        (Original post by Elisa2000)
        Well, could you show me what the right answer is? Without using a calculator
        Show your working and I'll tell you where you went wrong.
        • Thread Starter
        Offline

        1
        ReputationRep:
        (Original post by RDKGames)
        Show your working and I'll tell you where you went wrong.
        51 - 14 sqrt 2/ 3 -2 sqrt 2 both multiplied by 3+2 sqrt 2. Then I got 153 + 102 sqrt 2 - 42 sqrt 2 - 28 - 2 divided by 9-4-2 which gave me: 123-60 sqrt 2 /3. I divided it by three, which gave me 41 -20 sqrt 20
        Offline

        18
        ReputationRep:
        (Original post by Elisa2000)
        What is 51-14 sqrt 2 divided by 3 -2 sqrt 2
        \frac{51-14\sqrt{2}}{3-2\sqrt{2}}?
        • Thread Starter
        Offline

        1
        ReputationRep:
        (Original post by XOR_)
        \frac{51-14\sqrt{2}}{3-2\sqrt{2}}?
        Could you help me with this?
        • Community Assistant
        • Welcome Squad
        Offline

        20
        ReputationRep:
        (Original post by Elisa2000)
        51 - 14 sqrt 2/ 3 -2 sqrt 2 both multiplied by 3+2 sqrt 2. Then I got 153 + 102 sqrt 2 - 42 sqrt 2 - 28 - 2 divided by 9-4-2 which gave me: 123-60 sqrt 2 /3. I divided it by three, which gave me 41 -20 sqrt 20
        Well you simply multiplied wrong.

        Numerator: (51-14\sqrt{2})(3+2\sqrt{2})=51(3+2 \sqrt{2})-14\sqrt{2}(3+2\sqrt{2})

        =153+102 \sqrt{2}-42\sqrt{2}-28\sqrt{2} \sqrt{2}

        Denominator: (3-2\sqrt{2})(3+2\sqrt{2})=9-4\sqrt{2}\sqrt{2}

        Now simplify and carry on.
        Offline

        1
        ReputationRep:
        multiply top and botton by (3 + 2(sqrt2)) to rationalize the denominator

        EDIT: left for a few minutes and was answered i cri erry tim
        Offline

        18
        ReputationRep:
        (Original post by RDKGames)
        Well you simply multiplied wrong.

        Numerator: (51-14\sqrt{2})(3+2\sqrt{2})=51(3+2 \sqrt{2})-14\sqrt{2}(3+2\sqrt{2})

        =153+102 \sqrt{2}-42\sqrt{2}-28\sqrt{2} \sqrt{2}

        Denominator: (3-2\sqrt{2})(3+2\sqrt{2})=9-4\sqrt{2}\sqrt{2}

        Now simplify and carry on.
        isn't it 3-2sqrt(2)
        • Community Assistant
        • Welcome Squad
        Offline

        20
        ReputationRep:
        (Original post by XOR_)
        isn't it 3-2sqrt(2)
        Huh? Where?
        Offline

        18
        ReputationRep:
        (Original post by RDKGames)
        Huh? Where?
        The original questions' denominator.
        Offline

        1
        ReputationRep:
        If you want my answer:
        Spoiler:
        Show
        I got 97 - 60√2
        • Community Assistant
        • Welcome Squad
        Offline

        20
        ReputationRep:
        (Original post by XOR_)
        The original questions' denominator.
        Yes it is. I'm showing multiplication by the conjugate of it.
        • Community Assistant
        • Welcome Squad
        Offline

        20
        ReputationRep:
        (Original post by Notch)
        If you want my answer:
        Spoiler:
        Show
        I got 97 - 60√2
        Close.
        • Thread Starter
        Offline

        1
        ReputationRep:
        (Original post by RDKGames)
        Well you simply multiplied wrong.

        Numerator: (51-14\sqrt{2})(3+2\sqrt{2})=51(3+2 \sqrt{2})-14\sqrt{2}(3+2\sqrt{2})

        =153+102 \sqrt{2}-42\sqrt{2}-28\sqrt{2} \sqrt{2}

        Denominator: (3-2\sqrt{2})(3+2\sqrt{2})=9-4\sqrt{2}\sqrt{2}

        Now simplify and carry on.
        Look, minus sqrt 2 and sqrt 2 when multiplied make minus 2
       
       
       
    • See more of what you like on The Student Room

      You can personalise what you see on TSR. Tell us a little about yourself to get started.

    • Poll
      Did TEF Bronze Award affect your UCAS choices?
      Help with your A-levels

      All the essentials

      The adventure begins mug

      Student life: what to expect

      What it's really like going to uni

      Rosette

      Essay expert

      Learn to write like a pro with our ultimate essay guide.

      Uni match

      Uni match

      Our tool will help you find the perfect course for you

      Study planner

      Create a study plan

      Get your head around what you need to do and when with the study planner tool.

      Study planner

      Resources by subject

      Everything from mind maps to class notes.

      Hands typing

      Degrees without fees

      Discover more about degree-level apprenticeships.

      A student doing homework

      Study tips from A* students

      Students who got top grades in their A-levels share their secrets

      Study help links and info

      Can you help? Study help unanswered threadsRules and posting guidelines

      Sponsored content:

      HEAR

      HEAR

      Find out how a Higher Education Achievement Report can help you prove your achievements.

      Groups associated with this forum:

      View associated groups
    • See more of what you like on The Student Room

      You can personalise what you see on TSR. Tell us a little about yourself to get started.

    • The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

      Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

      Quick reply
      Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.