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

$2 - 5 {\left(9 - 4 \cdot \sqrt{25}\right)}^{2} = - 603$

#### Explanation:

Let us simplify

$2 - 5 {\left(9 - 4 \cdot \sqrt{25}\right)}^{2} \text{ }$the given expression

$2 - 5 {\left(9 - 4 \left(5\right)\right)}^{2} \text{ }$we begin inside the grouping symbol exponentiation first

$2 - 5 {\left(9 - 20\right)}^{2} \text{ }$we take the product of 4 and 5

$2 - 5 {\left(- 11\right)}^{2} \text{ }$we now have the difference between 9 and 20

$2 - 5 \left(121\right) \text{ }$the square of $- 11$ is 121

$2 - 605 \text{ }$the product of 121 and 5 is 605

$- 603 \text{ }$final answer is the difference between 2 and 605 where 2 is the minuend and 605 the subtrahend.