thanks for the help in advance
directions find all of the square roots of each number. if the square root is irrational, round your answer to the nearest hundreth
1.36
2.100
3.117
4.3/8
For number 1 I wrote the square root of 36 is 6 and my math teacher marked me wronge. What am i doing wronge and what are the correct answers? Any help would be great
to clarify, the square root function always returns positive values. but, if we square root an equation where one side is a square, then we get the +/- square root as the solution. not because the square root function returns negative values, but because the squared term can have negative or positive inputs that returns positive values.
and so, absolute values do come into play.
example.
solve
square root both sides
note that is positive...ALWAYS. but on the left side of the equation, we have , which happens to be an alternative defintion of , so what we have is
and so, , since can be negative or positive, but the absolute value function will return the positive value