What will come in place of question mark (?) in the following equation? (√25 × 12) ÷ 15 + √256 = ?
20
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.
$$ ? = 20 $$
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