Question

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

Answer 1

You may see the equation here.

Answer 2

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

Answer 3

Is this the answer?

Answer 4

Yeah can't be simplified more

Answer 5

How it be made?

Answer 6

Because the answer is 4.

Answer 7

Ai Se Eu Te Pego -

Answer 8

159

Answer 9

rrsrsrs

Answer 10

good

Answer 11

De onde vc é Elodi?

Answer 12

quoi

Answer 13

Vc falou português

Answer 14

i m from Brazil

Answer 15

okk

Answer 16

or u may send me your link profile

Answer 17

I got it, Let me show you how this 4

Answer 18

yes]

Answer 19

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

Answer 20

ok

Answer 21

Bye Elodi See u around
i ve got go

Answer 22

y

Answer 23

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
\[x=4\]

Answer 24

square on both sides