\frac{30\left(\sqrt{62}-6\right)}{13}

asked by guest
on Mar 22, 2025 at 5:05 am



You asked:

Evaluate the expression: 30(62−6)13\frac{30 \left(\sqrt{62} - 6\right)}{13}

MathBot Answer:

30(62−6)13=−18013+306213≈4.32463355541187158388854103572002\frac{30 \left(\sqrt{62} - 6\right)}{13} = - \frac{180}{13} + \frac{30 \sqrt{62}}{13} \approx 4.32463355541187158388854103572002

30(62−6)13=30⋅(62−6)⋅113=30⋅(−6+62)⋅113=30⋅(−613+113⋅62)=−18013+3013⋅62\begin{aligned}\frac{30 \left(\sqrt{62} - 6\right)}{13}&=30 \cdot \left(\sqrt{62} - 6\right) \cdot \frac{1}{13}\\&=30 \cdot \left(-6 + \sqrt{62}\right) \cdot \frac{1}{13}\\&=30 \cdot \left(- \frac{6}{13} + \frac{1}{13} \cdot \sqrt{62}\right)\\&=- \frac{180}{13} + \frac{30}{13} \cdot \sqrt{62}\end{aligned}

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