Question

find the domain H(y)=-√ 625-y^4

Answer 1

Thing about domains, inside radicals, you may not have a negative number :)

Answer 2

So, we must make it so that
\[\huge 625 - y^4 \ge 0\]

Answer 3

and what is y?

Answer 4

Solve for it >
I suggest factoring :)

Answer 5

It looks like Peter here gave you the goods to solve it...

Answer 6

Just remember
\[\large a^2 - b^2 = (a+b)(a-b)\]
Even more bluntly...
\[\large a^4-b^4 = (a^2+b^2)(a+b)(a-b)\]