What will come in place of question mark (?) in the following equation? (22 × 15 – 150) – 164 = √?
256
Solving the Equation Step-by-Step
This solution will guide you through finding the missing value represented by the question mark (?) in the given mathematical equation. We will break down the calculation process step-by-step to ensure clarity.
Evaluating the Expression
The equation provided is:
$$ (22 \times 15 - 150) - 164 = \sqrt{?} $$
First, we need to solve the expression on the left side of the equals sign. Let's evaluate the part inside the parentheses:
- Step 1: Multiplication
Calculate the product of 22 and 15:
$$ 22 \times 15 = 330 $$ - Step 2: Subtraction within Parentheses
Subtract 150 from the result of the multiplication:
$$ 330 - 150 = 180 $$ - Step 3: Final Subtraction
Now, subtract 164 from the result obtained in Step 2:
$$ 180 - 164 = 16 $$
Finding the Missing Value
After evaluating the left side of the equation, we found it equals 16. So, the equation now simplifies to:
$$ 16 = \sqrt{?} $$
To find the value of '?', we need to determine what number has 16 as its square root. This means we need to square the number 16:
- Step 4: Squaring the Result
Square the value 16 to find the value of '?':
$$ ? = 16^2 $$Calculating 16 squared:
$$ 16 \times 16 = 256 $$
Therefore, the value that replaces the question mark (?) in the equation is 256.
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