√(3 × 25) - 2 √(3 × 9) - 3 √(3)

asked by guest
on Jan 26, 2025 at 2:54 pm



You asked:

Evaluate the expression: \(\sqrt{3 \cdot 25} - 2 \sqrt{3 \cdot 9} - 3 \sqrt{3}\)

MathBot Answer:

\[\sqrt{3 \cdot 25} - 2 \sqrt{3 \cdot 9} - 3 \sqrt{3} = - 4 \sqrt{3} \approx -6.92820323027550917410978536602349\]

\[\begin{aligned}\sqrt{3 \cdot 25} - 2 \sqrt{3 \cdot 9} - 3 \sqrt{3}& = \sqrt{3 \cdot 25} - 2 \cdot \sqrt{3 \cdot 9} - 3 \cdot \sqrt{3}\\& = \sqrt{75} - 2 \cdot \sqrt{3 \cdot 9} - 3 \cdot \sqrt{3}\\& = 5 \cdot \sqrt{3} - 2 \cdot \sqrt{3 \cdot 9} - 3 \cdot \sqrt{3}\\& = 5 \cdot \sqrt{3} - 2 \cdot \sqrt{27} - 3 \cdot \sqrt{3}\\& = 5 \cdot \sqrt{3} - 2 \cdot 3 \cdot \sqrt{3} - 3 \cdot \sqrt{3}\\& = 5 \cdot \sqrt{3} - 6 \cdot \sqrt{3} - 3 \cdot \sqrt{3}\\& = - \sqrt{3} - 3 \cdot \sqrt{3}\\& = -4 \cdot \sqrt{3}\end{aligned}\]

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