Equation Calculation: Step-by-Step Solution

This solution details how to find the value represented by the question mark (?) in the given mathematical equation. We will solve the equation step-by-step, applying the order of operations (PEMDAS/BODMAS) and simplifying each part.

Understanding the Equation

The equation we need to solve is:

$$ \left ( \sqrt{25} \times 12 \right ) \div 15 + \sqrt{256} = ? $$

To find the value of '?', we must first calculate the square roots, then perform the multiplication, followed by the division, and finally the addition.

Step 1: Calculate Square Roots

First, we find the square root of 25 and 256:

• The square root of 25, denoted as $ \sqrt{25} $, is 5. This is because $ 5 \times 5 = 25 $.
• The square root of 256, denoted as $ \sqrt{256} $, is 16. This is because $ 16 \times 16 = 256 $.

Substituting these values back into the equation:

$$ (5 \times 12) \div 15 + 16 = ? $$

Step 2: Perform Multiplication

Next, we perform the multiplication inside the parentheses:

• $ 5 \times 12 = 60 $

The equation now becomes:

$$ 60 \div 15 + 16 = ? $$

Step 3: Perform Division

Now, we carry out the division operation:

• $ 60 \div 15 = 4 $

The equation simplifies to:

$$ 4 + 16 = ? $$

Step 4: Perform Addition

Finally, we perform the addition to find the final value:

• $ 4 + 16 = 20 $

Final Result

Therefore, the value that comes in place of the question mark (?) is 20.

$$ ? = 20 $$