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## viniterranova 3 years ago x=sqrt(7+4sqrt3)+sqrt(7-4sqrt3)

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1. viniterranova

2. viniterranova

You may see the equation here.

3. ash2326

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 $x=\frac{8\sqrt 3}{\sqrt{7+4\sqrt 3}-\sqrt{7-4\sqrt 3}}$

4. viniterranova

Is this the answer?

5. ash2326

Yeah can't be simplified more

6. viniterranova

How it be made?

7. viniterranova

Because the answer is 4.

8. Elodi

Ai Se Eu Te Pego -

9. Elodi

159

10. viniterranova

rrsrsrs

11. Elodi

good

12. viniterranova

De onde vc é Elodi?

13. Elodi

quoi

14. viniterranova

Vc falou português

15. viniterranova

i m from Brazil

16. Elodi

okk

17. viniterranova

or u may send me your link profile

18. ash2326

I got it, Let me show you how this 4

19. Elodi

yes]

20. ash2326

@viniterranova please don't share personal info like facebook id here. Delete it please

21. viniterranova

ok

22. viniterranova

Bye Elodi See u around i ve got go

23. Elodi

y

24. ash2326

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 $x=4$

25. Bhavnazoon

square on both sides|dw:1330781973743:dw|

26. viniterranova

Good.

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