SOLUTION: leave a non-perfect square under the radial sign: x^2+23=144. what is a non-perfect square and what is a radical sign? what I have come up with is x^2+23=144-23; x^2=121; sqrt

Algebra ->  Square-cubic-other-roots -> SOLUTION: leave a non-perfect square under the radial sign: x^2+23=144. what is a non-perfect square and what is a radical sign? what I have come up with is x^2+23=144-23; x^2=121; sqrt      Log On


   

Question 550649: leave a non-perfect square under the radial sign: x^2+23=144. what is a non-perfect square and what is a radical sign?
what I have come up with is x^2+23=144-23; x^2=121; sqrt of 121 is 11
i need to know what a perfect square is and what a radical sign is
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
A perfect square is a number x such that x=k%5E2 where k is some whole number.


For example, 100 is a perfect square because 100=10%5E2. You can figure out if a number is a perfect square by evaluating the square root of that number. If the square root of that number is a whole number, then that number is a perfect square.

So sqrt%28100%29=10 (which makes it a perfect square), but sqrt%28101%29=10.0498756211209 (which makes it a non-perfect square)


The radical sign is just another way of saying the square root sign.


Note: keep in mind that x = -11 is also a solution along with x = 11