\[-\frac{10 \sqrt{5}}{3} + 14 \sqrt{21}\]

asked by guest
on Nov 18, 2024 at 6:38 am



You asked:

Evaluate the expression: \(-\left( \frac{10 \cdot \sqrt{5}}{3} \right) + 14 \cdot \sqrt{21}\)

MathBot Answer:

\[-\left( \frac{10 \cdot \sqrt{5}}{3} \right) + 14 \cdot \sqrt{21} = - \frac{10 \sqrt{5}}{3} + 14 \sqrt{21} \approx 56.7024998043824611042020818164212\]

\[\begin{aligned}-\left( \frac{10 \cdot \sqrt{5}}{3} \right) + 14 \cdot \sqrt{21}& = - 10 \cdot \sqrt{5} \cdot \frac{1}{3} + 14 \cdot \sqrt{21}\\& = - 10 \cdot \frac{1}{3} \cdot \sqrt{5} + 14 \cdot \sqrt{21}\\& = - \frac{10}{3} \cdot \sqrt{5} + 14 \cdot \sqrt{21}\\& = 14 \cdot \sqrt{21} - \frac{10}{3} \cdot \sqrt{5}\end{aligned}\]

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