3 √12 - 6√75

asked by guest
on Jan 18, 2025 at 2:21 pm



You asked:

Evaluate the expression: \(3 \sqrt{12} - 6 \sqrt{75}\)

MathBot Answer:

\[3 \sqrt{12} - 6 \sqrt{75} = - 24 \sqrt{3} \approx -41.56921938165305504465871219614094\]

\[\begin{aligned}3 \sqrt{12} - 6 \sqrt{75}& = 3 \cdot \sqrt{12} - 6 \cdot \sqrt{75}\\& = 3 \cdot 2 \cdot \sqrt{3} - 6 \cdot \sqrt{75}\\& = 6 \cdot \sqrt{3} - 6 \cdot \sqrt{75}\\& = 6 \cdot \sqrt{3} - 6 \cdot 5 \cdot \sqrt{3}\\& = 6 \cdot \sqrt{3} - 30 \cdot \sqrt{3}\\& = -24 \cdot \sqrt{3}\end{aligned}\]

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