How do you simplify #2-5(9-4*sqrt(25))^2# using order of operations?

1 Answer

#2-5(9-4*sqrt25)^2=-603#

Explanation:

Let us simplify

#2-5(9-4*sqrt25)^2" "#the given expression

#2-5(9-4(5))^2" "#we begin inside the grouping symbol exponentiation first

#2-5(9-20)^2" "#we take the product of 4 and 5

#2-5(-11)^2" "#we now have the difference between 9 and 20

#2-5(121)" "#the square of #-11# is 121

#2-605" "#the product of 121 and 5 is 605

#-603" "#final answer is the difference between 2 and 605 where 2 is the minuend and 605 the subtrahend.