## anonymous 5 years ago what is the square root of x^4 + 7?

1. Owlfred

Hoot! You just asked your first question! Hang tight while I find people to answer it for you. You can thank people who give you good answers by clicking the 'Good Answer' button on the right!

2. anonymous

okay so 4+7 is 11 and the square root of 11 is? what are 2 of the same #s that divide into 11?like the square root of 36 is 6 bcuz 6 times 6 is 36.

3. anonymous

(x^4 + 7)^1/2

$\sqrt{x ^{4}+7}$ or$\sqrt{x ^{4+7}}$??

5. anonymous

na I need a specific answer

6. anonymous

it is apparently factorable

7. anonymous

There is no good way to simplify that problem. It is simply $\sqrt(x^4+7)$ Owlfred, your reply was useless. Helpneededlady, 11 is prime, and that was not this persons question anyway. Jman, is there more to the problem?

8. anonymous

no

9. anonymous

thats it I have to simplify it further

10. anonymous

Find f(√x + 2) if f(x) = x4 + 5

11. anonymous

that is the problem

12. anonymous

only it is x to the fourth

13. anonymous

Well then you already gave us the solution to your problem, and it cannot be simplified further.

14. anonymous

no it has to be simplified

15. anonymous

I did notice some calculation errors, that could be your problem. The answer ends up being $(\sqrt(x+2))^4+5$. At this point you can simplify and get a different answer.

16. anonymous

f(√x + 2) if f(x) = x4 + 5 (√x + 2)^4 + 5 = (x+2)^2 +5 = x^2 + 2x +9

17. anonymous

i dont think we r allowed to do that suzi

18. anonymous

why? f(√x + 2) means x = √x + 2 then plug into equation

19. anonymous

suzi, (sqrtx + 2)^4 is not (x + 2)^2

20. anonymous

Guyc is correct, my bad I didn't notice the calculation errors, but her general procedure was correct.

21. anonymous

√x + 2 = (x+2)^1/2 (√x + 2)^4 = ((x+2)^1/2)^4 (x+2)^ 1/2 * 4 (x+2)^2

22. anonymous

it was wrong

23. anonymous

ok up to u, that was my answer and thank you.

24. anonymous

The difficulty we're having is calculating (sqrt x + 2) ^4. Multiplying by hand by brute force I get: x^2 + 8x^(3/2) + 24x + 32x^(1/2) + 16 which is horrible