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To solve the expression , we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
Here are the steps:
First, calculate the square root:
Substitute the square root back into the expression:
Next, perform the addition and subtraction from left to right:
Add 5 and 6:
Then subtract 1:
Finally, you obtain the solution:
What is the result of the following equation?
\( 36-4\div2 \)
Because of PEMDAS! Square roots count as exponents, which come before addition and subtraction. So must be calculated first to get 6.
Think: what number times itself equals 36? Try: 6 × 6 = 36, so . Practice perfect squares like 1, 4, 9, 16, 25, 36, 49!
Always work left to right for addition and subtraction! So 5 + 6 - 1 becomes: first 5 + 6 = 11, then 11 - 1 = 10.
Parentheses come first in PEMDAS! You'd calculate 5 + √36 first, getting 5 + 6 = 11, then subtract: 11 - 1 = 10. Same answer here!
Remember: "Please Excuse My Dear Aunt Sally"
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