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4) \[\sqrt[3]{7+5\sqrt{2}}+\sqrt[3]{7-5\sqrt{2}}\]

R u there? If so let's look at each problem.

i am

What is the topic that you got these questions from?

powers and roots

What does the directions for these questions say?

sure, if u find solution - post it :)

Put these solution in the equation you are trying to find and solve from there.
#1: Answer=2

but I have to write how did I get it o.O

Since, x^2+y^2+z^2=2
-1<=x<=1 , -1<=y<=1 and -1<=z<=1

From, x+y+z=0
u will get one of them is -1 , the other one is 1 and the other must be 0

So, x^4+y^4+z^4=2

\[\large xy+yz+xz=-\frac{ 1 }{ 4 }a^2\]\[\large xyz=-\frac{1}{4}a^3\]using algebra

3) x/a + y/b + z/c = 1
a/x + b/y + c/z = 0
x^2/a^2 + y^2/b^2 + z^2/c^2 =1

thank you, guys :)

You're welcome :)