Solve 18² - (100 + √9): Mixed Operations Expression

The given expression is $18^2-(100+\sqrt{9})$

We need to follow the order of operations (PEMDAS/BODMAS), which stands for:

• Parentheses

• Exponents (i.e., powers and square roots, etc.)

• MD Multiplication and Division (left-to-right)

• AS Addition and Subtraction (left-to-right)

Let's solve step by step:

Step 1: Evaluate the exponent and the square root in the expression:

• $18^2 = 324$

• $\sqrt{9} = 3$

So, the expression becomes $324 - (100 + 3)$

Step 2: Simplify the parentheses:

• $100+3=103$

So, the expression becomes $324 - 103$

Step 3: Subtract:

• $324-103=221$

Therefore, the value of the expression $18^2-(100+\sqrt{9})$ is 221.