QuestionAugust 25, 2025

Subtract. Write your answer in simplest form. -4sqrt (147)-9sqrt (3) square

Subtract. Write your answer in simplest form. -4sqrt (147)-9sqrt (3) square
Subtract. Write your answer in simplest form.
-4sqrt (147)-9sqrt (3)
square

Solution
4.4(175 votes)

Answer

-37\sqrt{3} Explanation 1. Simplify the square root 147 = 49 \times 3, so \sqrt{147} = \sqrt{49 \times 3} = \sqrt{49} \cdot \sqrt{3} = 7\sqrt{3}. 2. Substitute and combine like terms Substitute \sqrt{147} with 7\sqrt{3} in the expression: -4(7\sqrt{3}) - 9\sqrt{3} = -28\sqrt{3} - 9\sqrt{3}. 3. Perform the subtraction Combine the terms: -28\sqrt{3} - 9\sqrt{3} = -37\sqrt{3}.

Explanation

1. Simplify the square root<br /> $147 = 49 \times 3$, so $\sqrt{147} = \sqrt{49 \times 3} = \sqrt{49} \cdot \sqrt{3} = 7\sqrt{3}$.<br />2. Substitute and combine like terms<br /> Substitute $\sqrt{147}$ with $7\sqrt{3}$ in the expression: $-4(7\sqrt{3}) - 9\sqrt{3} = -28\sqrt{3} - 9\sqrt{3}$.<br />3. Perform the subtraction<br /> Combine the terms: $-28\sqrt{3} - 9\sqrt{3} = -37\sqrt{3}$.
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