次の計算をしなさい。 (1) $\sqrt{3} \times \sqrt{5}$ (2) $\sqrt{2} \times \sqrt{32}$ (3) $\frac{\sqrt{25}}{\sqrt{5}}$ (4) $\frac{\sqrt{27}}{\sqrt{3}}$

1. 問題の内容

次の計算をしなさい。

(1) $\sqrt{3} \times \sqrt{5}$

(2) $\sqrt{2} \times \sqrt{32}$

(3) $\frac{\sqrt{25}}{\sqrt{5}}$

(4) $\frac{\sqrt{27}}{\sqrt{3}}$

2. 解き方の手順

(1) $\sqrt{3} \times \sqrt{5} = \sqrt{3 \times 5} = \sqrt{15}$

(2) $\sqrt{2} \times \sqrt{32} = \sqrt{2 \times 32} = \sqrt{64} = 8$

(3) $\frac{\sqrt{25}}{\sqrt{5}} = \sqrt{\frac{25}{5}} = \sqrt{5}$

(4) $\frac{\sqrt{27}}{\sqrt{3}} = \sqrt{\frac{27}{3}} = \sqrt{9} = 3$

3. 最終的な答え

(1) $\sqrt{15}$

(2) $8$

(3) $\sqrt{5}$

(4) $3$