簡約 4*sqrt(75/49-((\sqrt{8)))/((sqrt(18)))}

解

簡約

4 \cdot \frac{75}{49} - \frac{( 8 )}{( 18 )}

\frac{4 127}{7 3}

十進法表記

3.71794 \dots

解答ステップ

4 \frac{75}{49} - \frac{8}{18}

\frac{75}{49} - \frac{8}{18} = \frac{127}{147}

= 4 \frac{127}{147}

累乗根の規則を適用する:

\frac{a}{b} = \frac{a}{b}, a \geq 0, b \geq 0

\frac{127}{147} = \frac{127}{147}

= 4 \cdot \frac{127}{147}

147 = 73

= 4 \cdot \frac{127}{7 3}

4 \cdot \frac{127}{7 3} = \frac{4 127}{7 3}

= \frac{4 127}{7 3}