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Hasil dari (√5)3 adalah …

Rani Maharani

Soal

A. 125

B. 25√5

C. 5

D. 5√5

Jawaban

Diketahui:

$$\sqrt{5}$$

Ditanyakan:

$$\left(\sqrt{5}\right)^3$$

Langkah penyelesaian:

$$\begin{aligned} \left(\sqrt{5}\right)^3 &= \sqrt{5} \cdot \sqrt{5} \cdot \sqrt{5} \\ &= \sqrt{5 \cdot 5 \cdot 5} \\ &= \sqrt{125} \\ &= 5\sqrt{5} \end{aligned}$$

Jadi, hasil dari $\left(\sqrt{5}\right)^3$ adalah $\boxed{5\sqrt{5}}$.

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