√(3 × 25) - 2 √(3 × 9) - 3 √(3)

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



You asked:

Evaluate the expression: 3⋅25−23⋅9−33\sqrt{3 \cdot 25} - 2 \sqrt{3 \cdot 9} - 3 \sqrt{3}

MathBot Answer:

3⋅25−23⋅9−33=−43≈−6.92820323027550917410978536602349\sqrt{3 \cdot 25} - 2 \sqrt{3 \cdot 9} - 3 \sqrt{3} = - 4 \sqrt{3} \approx -6.92820323027550917410978536602349

3⋅25−23⋅9−33=3⋅25−2⋅3⋅9−3⋅3=75−2⋅3⋅9−3⋅3=5⋅3−2⋅3⋅9−3⋅3=5⋅3−2⋅27−3⋅3=5⋅3−2⋅3⋅3−3⋅3=5⋅3−6⋅3−3⋅3=−3−3⋅3=−4⋅3\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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