Номер 408 ГДЗ алгебра 8 класc Макарычев

№408.
a) $\frac{1}{3} \sqrt{351}$ и $\frac{1}{2} \sqrt{188}$ :

$$
\begin{aligned}
\sqrt{351} \approx 18.73, & \sqrt{188} \approx 13.71 \\
\frac{1}{3} \cdot 18.73 \approx 6.24, & \frac{1}{2} \cdot 13.71 \approx 6.86
\end{aligned}
$$

$\frac{1}{3} \sqrt{351}<\frac{1}{2} \sqrt{188}$.
6) $\frac{1}{3} \sqrt{54} \backsim \frac{1}{5} \sqrt{150}$ :

$$
\begin{aligned}
\sqrt{54} & \approx 7.35, \quad \sqrt{150} \approx 12.25 \\
\frac{1}{3} \cdot 7.35 & \approx 2.45, \quad \frac{1}{5} \cdot 12.25 \approx 2.45
\end{aligned}
$$

$\frac{1}{3} \sqrt{54}=\frac{1}{5} \sqrt{150}$.
в) $\sqrt{24}$ и $\frac{1}{3} \sqrt{216}$ :

$$
\begin{gathered}
\sqrt{24} \approx 4.9, \quad \sqrt{216} \approx 14.7 \\
\frac{1}{3} \cdot 14.7 \approx 4.9
\end{gathered}
$$

$\sqrt{24}=\frac{1}{3} \sqrt{216}$.
г) $\frac{2}{3} \sqrt{72}$ и $7 \sqrt{\frac{2}{3}}$ :

$$
\begin{aligned}
\sqrt{72} \approx 8.49, & \sqrt{\frac{2}{3}} \approx 0.82 \\
\frac{2}{3} \cdot 8.49 \approx 5.66, & 7 \cdot 0.82 \approx 5.74
\end{aligned}
$$

$\frac{2}{3} \sqrt{72}<7 \sqrt{\frac{2}{3}}$.
Ответ:
a) $\frac{1}{3} \sqrt{351}<\frac{1}{2} \sqrt{188}$
6) $\frac{1}{3} \sqrt{54}=\frac{1}{5} \sqrt{150}$
в) $\sqrt{24}=\frac{1}{3} \sqrt{216}$
г) $\frac{2}{3} \sqrt{72}<7 \sqrt{\frac{2}{3}}$