147\sqrt{147} - 451.6545^{1.65}

asked by guest
on Mar 13, 2025 at 1:14 pm



You asked:

Evaluate the expression: 147−451.65\sqrt{147} - {45}^{1.65}

MathBot Answer:

147−451.65=−135⋅3310⋅51320+73≈−522.19468134489836815983332062486409\sqrt{147} - {45}^{1.65} = - 135 \cdot 3^{\frac{3}{10}} \cdot 5^{\frac{13}{20}} + 7 \sqrt{3} \approx -522.19468134489836815983332062486409

147−451.65=147−451+65100=7⋅3−451+65100=7⋅3−451+1320=7⋅3−453320=7⋅3−135⋅3310⋅51320\begin{aligned}\sqrt{147} - {45}^{1.65}&=\sqrt{147} - 45^{1 + \frac{65}{100}}\\&=7 \cdot \sqrt{3} - 45^{1 + \frac{65}{100}}\\&=7 \cdot \sqrt{3} - 45^{1 + \frac{13}{20}}\\&=7 \cdot \sqrt{3} - 45^{\frac{33}{20}}\\&=7 \cdot \sqrt{3} - 135 \cdot 3^{\frac{3}{10}} \cdot 5^{\frac{13}{20}}\end{aligned}

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