SOLUTION: Good Evening, Ok, what does it mean when you are ask to find all the square roots -100. can you please break it down. And how do you create the symbol or what key do I use to

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Good Evening, Ok, what does it mean when you are ask to find all the square roots -100. can you please break it down. And how do you create the symbol or what key do I use to      Log On


   



Question 1012202: Good Evening,
Ok, what does it mean when you are ask to find all the square roots -100.
can you please break it down. And how do you create the symbol or what key do I use to calculate this operation. Thanking you in advance
Betty

Answer by ValorousDawn(53) About Me  (Show Source):
You can put this solution on YOUR website!
This is asking you to compute sqrt%28-100%29, which is equivalent to finding the solution tox%5E2%2B100, which is done by computing the first equation above. We can break it apart into factors.
sqrt%28-100%29=sqrt%28-1%2A10%5E2%29
sqrt%28-1%2A10%5E2%29=sqrt%28-1%29%2Asqrt%2810%5E2%29
Remember i=sqrt%28-1%29.
sqrt%28-1%29%2Asqrt%2810%5E2%29=i%2Asqrt%2810%5E2%29, but do not forget that there is also a negative square root-your question asked to find ALL square roots, so we also include sqrt%28-1%29%2Asqrt%2810%5E2%29=-i%2Asqrt%2810%5E2%29.
i%2Asqrt%2810%5E2%29=10i
-1%2Asqrt%2810%5E2%29=-10i