Reken uit
- \(\sqrt{45}\)
- \(\sqrt{400}\)
- \(\sqrt{900}\)
- \(\sqrt{1000}\)
- \(\sqrt{100}\)
- \(\sqrt{1296}\)
- \(\sqrt{200}\)
- \(\sqrt{96}\)
- \(\sqrt{128}\)
- \(\sqrt{3600}\)
- \(\sqrt{576}\)
- \(\sqrt{32}\)
Reken uit
Verbetersleutel
- \(\sqrt{45}=\sqrt{9 \cdot 5}=\sqrt{9}\cdot \sqrt{5}=3\sqrt{5}\)
- \(\sqrt{400}=20\)
- \(\sqrt{900}=\sqrt{9 \cdot 100}=\sqrt{9} \cdot \sqrt{100}=3 \cdot 10=30\)
- \(\sqrt{1000}=\sqrt{100 \cdot 10}=\sqrt{100}\cdot \sqrt{10}=10\sqrt{10}\)
- \(\sqrt{100}=10\)
- \(\sqrt{1296}=\sqrt{324 \cdot 4}=\sqrt{324} \cdot \sqrt{4}=18 \cdot 2=36\)
- \(\sqrt{200}=\sqrt{100 \cdot 2}=\sqrt{100}\cdot \sqrt{2}=10\sqrt{2}\)
- \(\sqrt{96}=\sqrt{16 \cdot 6}=\sqrt{16}\cdot \sqrt{6}=4\sqrt{6}\)
- \(\sqrt{128}=\sqrt{64 \cdot 2}=\sqrt{64}\cdot \sqrt{2}=8\sqrt{2}\)
- \(\sqrt{3600}=\sqrt{36 \cdot 100}=\sqrt{36} \cdot \sqrt{100}=6 \cdot 10=60\)
- \(\sqrt{576}=\sqrt{144 \cdot 4}=\sqrt{144} \cdot \sqrt{4}=12 \cdot 2=24\)
- \(\sqrt{32}=\sqrt{16 \cdot 2}=\sqrt{16}\cdot \sqrt{2}=4\sqrt{2}\)