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Algebra Square root method?
Say I have x^2-50=0 I know to get it to this x^2=50 then to this x=±√50. What I'm not understanding is how they took that, and turned it into this x=±5√2. How did they get 5 and 2 from 50? Can someone tell me how this is done. Or show me a web page that explains it.
3 Answers
- 10 years agoFavorite Answer
There is a property for square roots that says if a = b*c then √a = √b * √c
They looked at 50 and notices that it is 25*2 or 5*5*2 but 25 is a big number and a perfect square so to simplify the expression, they changed √50 into √25 * √2 which is the same as 5*√2 or 5√2
Note: always remember that the number that remains under the square root must not have any other ways of being broken down: it has to be the simplest number possible.
Ex.: Correct: 4√2 Incorrect: 2√8 because 8 = 2*4 and 4 can be removed from under the square root.
- 10 years ago
5x5x2=50
that's like saying square root of 25x2
square root of 25 is 5 hence 5*sqrt(2)
hope that help
