To simplify the expression 80−−√−2 45−−√, we can use the fact that the square root of a number squared is equal to the number itself.
First, we can simplify the expression inside the square root:
80−−√−2 45−−√ = √(80−−2 45−−)
Then, we can simplify the expression inside the parentheses:
√(80−−2 45−−) = √((80−−2) 45−−)
Using the fact that the square root of a number squared is equal to the number itself, we can simplify the expression further:
√((80−−2) 45−−) = √(80−−2 * 45−−) = √(80−−2 * 45)
Finally, we can simplify the expression inside the parentheses:
√(80−−2 * 45) = √(80 * 45) = √(3600) = 60
Therefore, the simplified form of the expression 80−−√−2 45−−√ is 60.