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Let's solve this problem step by step using the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):
1. First, let's focus on what's inside the parentheses:
2. We need to evaluate the square root first:
(because )
3. Now our expression looks like this:
4. Next, we perform the addition inside the parentheses:
5. Our expression is now:
6. Finally, we perform the multiplication:
Therefore,
This matches the provided correct answer of 30.
30
\( 20\div(4+1)-3= \)
You could use the distributive property (2 × √36 + 2 × 9), but it's easier to follow PEMDAS order! Solve inside parentheses first: √36 + 9 = 15, then multiply by 2.
Think of perfect squares! Ask yourself: "What number times itself equals 36?" Since 6 × 6 = 36, we know √36 = 6.
No worries! Remember Please Excuse My Dear Aunt Sally. Always handle what's in parentheses first, then exponents (like square roots), then multiply/divide from left to right.
Yes! Work backwards: if the answer is 30, then 30 ÷ 2 = 15. Now check if what's in parentheses equals 15: ✓
If you got 24, you might have calculated instead of . The parentheses make all the difference!
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