Simplify $100-\sqrt{36}+3$
Answer (2)
Calculate the square root: 36 = 6 .
Substitute the value: 100 − 6 + 3 .
Perform subtraction: 100 − 6 = 94 .
Perform addition: 94 + 3 = 97 . The final answer is $\boxed{97}.
Explanation
Understanding the problem We are asked to simplify the expression 100 − 36 + 3 . This involves finding the square root of 36 and then performing subtraction and addition.
Calculating the square root First, we need to find the square root of 36. We know that 36 = 6 because 6 × 6 = 36 .
Substituting the value Now, we substitute the value of 36 into the expression: 100 − 6 + 3 .
Performing subtraction Next, we perform the subtraction: 100 − 6 = 94 . So the expression becomes 94 + 3 .
Performing addition Finally, we perform the addition: 94 + 3 = 97 . Therefore, the simplified expression is 97.
Final Answer The simplified expression is 97.
Examples
Imagine you are managing your finances. You start with $100 in your account, spend $6, and then receive $3. The expression 100 − 36 + 3 helps you calculate your final balance. Simplifying this expression, you find that your final balance is $97. This kind of calculation is useful in budgeting, accounting, and everyday financial transactions.
The simplified expression for 100 − 36 + 3 is 97 . This was achieved by first calculating the square root of 36 , substituting it back into the expression, and then performing the addition and subtraction. Therefore, the final answer is 97 .
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