6√7 + 3√3 - 2√7

asked by guest
on Nov 18, 2024 at 8:52 am



You asked:

Evaluate the expression: 67+33−276 \sqrt{7} + 3 \sqrt{3} - 2 \sqrt{7}

MathBot Answer:

67+33−27=33+47≈15.779157666964994242588802039074666 \sqrt{7} + 3 \sqrt{3} - 2 \sqrt{7} = 3 \sqrt{3} + 4 \sqrt{7} \approx 15.77915766696499424258880203907466

67+33−27=6⋅7+3⋅3−2⋅7=(3⋅3+6⋅7)−2⋅7=3⋅3+4⋅7\begin{aligned}6 \sqrt{7} + 3 \sqrt{3} - 2 \sqrt{7}&=6 \cdot \sqrt{7} + 3 \cdot \sqrt{3} - 2 \cdot \sqrt{7}\\&=\left(3 \cdot \sqrt{3} + 6 \cdot \sqrt{7}\right) - 2 \cdot \sqrt{7}\\&=3 \cdot \sqrt{3} + 4 \cdot \sqrt{7}\end{aligned}

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