An equation with multiple radical radicals.

In summary, an equation with multiple radical radicals is an equation containing multiple square roots or other types of radicals. To solve such an equation, each radical must be isolated and both sides of the equation must be raised to an appropriate power. This process may need to be repeated multiple times. An equation with multiple radical radicals can have more than one solution due to the possibility of extraneous solutions. There are no specific rules for solving these equations, but it is important to keep track of which terms are under the radical. The quadratic formula can be used to solve equations with multiple radical radicals.
  • #1
Quark Itself
25
0
Here's a slight brainteaser for you all ! Seems simple at sight but can be harder than you think :D P.S I'm working on it as of now, it's an interesting question.
Solve :
1/(√x+√(x+2))+1/(√x+√(x-2))=1/4
 
Mathematics news on Phys.org
  • #2
x = 257/16 and i did the old fashioned way, by hand
 
  • #3
Well, good job to you, sir.
 

Related to An equation with multiple radical radicals.

1. What is an equation with multiple radical radicals?

An equation with multiple radical radicals is an equation that contains multiple square roots or other types of radicals within it. These radicals may have different indices or be nested within each other.

2. How do I solve an equation with multiple radical radicals?

To solve an equation with multiple radical radicals, you need to isolate each radical and then raise both sides of the equation to an appropriate power to eliminate the radical. This process may need to be repeated multiple times until all radicals are eliminated.

3. Can an equation with multiple radical radicals have more than one solution?

Yes, an equation with multiple radical radicals can have more than one solution. This is because when raising both sides of the equation to an appropriate power, the resulting equation may introduce extraneous solutions that need to be checked.

4. Are there any special rules for solving equations with multiple radical radicals?

There are no specific rules for solving equations with multiple radical radicals, but it is important to keep track of which terms are under the radical and which are outside of it. It may also be helpful to simplify any nested radicals before attempting to eliminate them.

5. Can an equation with multiple radical radicals be solved using the quadratic formula?

Yes, an equation with multiple radical radicals can be solved using the quadratic formula. This formula is a general method for solving equations of the form ax^2 + bx + c = 0, which includes equations with multiple radical radicals as special cases.

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