Simplify Square Root Expression: 3*4 + 4*6

Published on August 31, 2025

Pre-Algebra

Evaluate the square root of the sum of two products: sqrt(3*4 + 4*6). Follow order of operations to solve.

Question

Answer

The problem asks us to evaluate the expression .
We need to follow the order of operations (PEMDAS/BODMAS):
  1. Parentheses/Brackets
  2. Exponents/Orders (including square roots)
  3. Multiplication and Division (from left to right)
  4. Addition and Subtraction (from left to right)
Step 1: Perform the multiplications inside the square root.

Step 2: Substitute these values back into the expression.
Step 3: Perform the addition inside the square root.
Step 4: Calculate the square root.
The final answer is .