Questions: Evaluate the expression: (3^2 times 4+6 div 12-(sqrt4+8)). (A) 9.5 (B) 26.5 (C) 39.5 (D) 44.75

Transcript text: 4. Evaluate the expression: $3^{2} \times 4+6 \div 12-(\sqrt{4}+8)$. (A) 9.5 (B) 26.5 (C) 39.5 (D) 44.75 thematics | Level H Copying is prohi

Solution

Solution Steps

Step 1: Evaluate the exponent

Calculate $3^{2}$: \[ 3^{2} = 9 \]

Step 2: Perform multiplication and division

Multiply $9 \times 4$ and divide $6 \div 12$: \[ 9 \times 4 = 36 \] \[ 6 \div 12 = 0.5 \]

Step 3: Evaluate the square root and addition inside the parentheses

Calculate $\sqrt{4}$ and add it to $8$: \[ \sqrt{4} = 2 \] \[ 2 + 8 = 10 \]

Step 4: Substitute and simplify the expression

Substitute the results into the original expression and simplify: \[ 36 + 0.5 - 10 = 26.5 \]

The final answer is $\boxed{26.5}$.

Final Answer

$\boxed{26.5}$

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