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viniterranova Group Title

x=sqrt(7+4sqrt3)+sqrt(7-4sqrt3)

  • 2 years ago
  • 2 years ago

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  1. viniterranova Group Title
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    • 2 years ago
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  2. viniterranova Group Title
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    You may see the equation here.

    • 2 years ago
  3. ash2326 Group Title
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    We have \[x=\sqrt{7+4\sqrt 3}+\sqrt{7-4\sqrt 3}\] Let's multiply and divide this by \(\sqrt{7+4\sqrt 3}-\sqrt{7-4\sqrt 3}\) we have \[x=\sqrt{7+4\sqrt 3}+\sqrt{7-4\sqrt 3} \times \frac{\sqrt{7+4\sqrt 3}-\sqrt{7-4\sqrt 3}}{\sqrt{7+4\sqrt 3}-\sqrt{7-4\sqrt 3}}\] We get \[x=\frac{{(\sqrt{7+4\sqrt 3})^2 }-(\sqrt{(7-4\sqrt 3})^2 }{\sqrt{7+4\sqrt 3}-\sqrt{7-4\sqrt 3}}\] we get \[x=\frac{7+4\sqrt 3-(7-4 \sqrt 3)}{\sqrt{7+4\sqrt 3}-\sqrt{7-4\sqrt 3}}\] so we get \[x=\frac{8\sqrt 3}{\sqrt{7+4\sqrt 3}-\sqrt{7-4\sqrt 3}}\]

    • 2 years ago
  4. viniterranova Group Title
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    Is this the answer?

    • 2 years ago
  5. ash2326 Group Title
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    Yeah can't be simplified more

    • 2 years ago
  6. viniterranova Group Title
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    How it be made?

    • 2 years ago
  7. viniterranova Group Title
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    Because the answer is 4.

    • 2 years ago
  8. Elodi Group Title
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    Ai Se Eu Te Pego -

    • 2 years ago
  9. Elodi Group Title
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    159

    • 2 years ago
  10. viniterranova Group Title
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    rrsrsrs

    • 2 years ago
  11. Elodi Group Title
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    good

    • 2 years ago
  12. viniterranova Group Title
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    De onde vc é Elodi?

    • 2 years ago
  13. Elodi Group Title
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    quoi

    • 2 years ago
  14. viniterranova Group Title
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    Vc falou português

    • 2 years ago
  15. viniterranova Group Title
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    i m from Brazil

    • 2 years ago
  16. Elodi Group Title
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    okk

    • 2 years ago
  17. viniterranova Group Title
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    or u may send me your link profile

    • 2 years ago
  18. ash2326 Group Title
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    I got it, Let me show you how this 4

    • 2 years ago
  19. Elodi Group Title
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    yes]

    • 2 years ago
  20. ash2326 Group Title
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    @viniterranova please don't share personal info like facebook id here. Delete it please

    • 2 years ago
  21. viniterranova Group Title
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    ok

    • 2 years ago
  22. viniterranova Group Title
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    Bye Elodi See u around i ve got go

    • 2 years ago
  23. Elodi Group Title
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    y

    • 2 years ago
  24. ash2326 Group Title
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    We have \[x=\sqrt {7+4 \sqrt 3}+\sqrt {7-4 \sqrt 3}\] Let's square both the sides we get \[x^2=(\sqrt {7+4 \sqrt 3})^2+(\sqrt {7-4 \sqrt 3})^2+2\times (\sqrt {7+4 \sqrt 3})\times (\sqrt {7-4 \sqrt 3})\] we get \[x^2=7+4\sqrt 3+7-4\sqrt 3+2 \sqrt{(7^2-(4\sqrt 3)^2}\] we get \[x^2=14+2\times \sqrt {49-16\times 3}\] we get \[x^2=14+2\times \sqrt 1\] we get \[x^2=14+2=16\] so \[x=4\]

    • 2 years ago
  25. Bhavnazoon Group Title
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    square on both sides|dw:1330781973743:dw|

    • 2 years ago
  26. viniterranova Group Title
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    Good.

    • 2 years ago
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