Herleid.
1p
\({\sqrt{21} \over \sqrt{3}}\)
○
\({\sqrt{21} \over \sqrt{3}} = \sqrt{7}\)
1p
Herleid.
1p
\({10 \sqrt{9} \over 2 \sqrt{3}}\)
○
\({10 \sqrt{9} \over 2 \sqrt{3}} = {10 \over 2} ⋅ {\sqrt{9} \over \sqrt{3}} = 5 \sqrt{3}\)
1p
Herleid.
1p
\({20 \sqrt{45} \over 5 \sqrt{5}}\)
○
\({20 \sqrt{45} \over 5 \sqrt{5}} = {20 \over 5} ⋅ {\sqrt{45} \over \sqrt{5}} = 4 ⋅ \sqrt{9} = 4 ⋅ 3 = 12\)
1p
Bereken.
1p
\((\sqrt{11})^{2}\)
○
\((\sqrt{11})^{2} = 11 \text{.}\)
1p
Bereken.
1p
\(2 (\sqrt{5})^{2}\)
○
\(2 (\sqrt{5})^{2} = 2 ⋅ 5 = 10 \text{.}\)
1p
Bereken.
1p
\((4 \sqrt{8})^{2}\)
○
\((4 \sqrt{8})^{2} = 4^{2} ⋅ \sqrt{8}^{2} = 16 ⋅ 8 = 128 \text{.}\)
1p
Bereken.
1p
\((4 \sqrt{3})^{2} - 2 (\sqrt{8})^{2}\)
○
\((4 \sqrt{3})^{2} - 2 (\sqrt{8})^{2} = 4^{2} ⋅ (\sqrt{3})^{2} - 2 ⋅ (\sqrt{8})^{2} = 16 ⋅ 3 - 2 ⋅ 8 = 32 \text{.}\)
1p
Bereken.
1p
\((8 \sqrt{6} - 7) (8 \sqrt{6} + 7)\)
○
\((8 \sqrt{6} - 7) (8 \sqrt{6} + 7) = (8 \sqrt{6})^{2} - 7^{2} = 64 ⋅ 6 - 49 = 384 - 49 = 335 \text{.}\)
1p
Bereken.
1p
\(\sqrt{49} - \sqrt{25}\)
○
\(\sqrt{49} - \sqrt{25} = 7 - 5 = 2\)
1p
Bereken.
1p
\(10 \sqrt{9} + 8 \sqrt{4}\)
○
\(10 \sqrt{9} + 8 \sqrt{4} = 10 ⋅ 3 + 8 ⋅ 2 = 46\)
1p
Herleid.
1p
\(\sqrt{11} + 8 \sqrt{11}\)
○
\(\sqrt{11} + 8 \sqrt{11} = 9 \sqrt{11}\)
1p
Herleid.
1p
\(5 \sqrt{2} - 8 \sqrt{5}\)
○
\(5 \sqrt{2} - 8 \sqrt{5}\) kan niet korter.
1p
Bereken.
1p
\(8 ⋅ \sqrt{49}\)
○
\(8 ⋅ \sqrt{49} = 8 ⋅ 7 = 56\)
1p
Bereken.
1p
\(\sqrt{36} ⋅ \sqrt{49}\)
○
\(\sqrt{36} ⋅ \sqrt{49} = 6 ⋅ 7 = 42\)
1p
Herleid.
1p
\(4 \sqrt{8} ⋅ 5 \sqrt{18}\)
○
\(4 \sqrt{8} ⋅ 5 \sqrt{18} = 20 ⋅ \sqrt{144} = 20 ⋅ 12 = 240\)
1p
Herleid.
1p
\(6 \sqrt{3} ⋅ 4 \sqrt{14}\)
○
\(6 \sqrt{3} ⋅ 4 \sqrt{14} = 24 \sqrt{42}\)
1p
Herleid.
1p
\({7 \sqrt{5} \over 5}\)
○
\({7 \sqrt{5} \over 5} = 1\frac{2}{5} \sqrt{5} \text{.}\)
1p
Bereken.
1p
\(\sqrt{0}\)
○
\(\sqrt{0} = 0\)
1p
Bereken.
1p
\(\sqrt{49}\)
○
\(\sqrt{49} = 7\)
1p
Bereken.
1p
\(\sqrt{121}\)
○
\(\sqrt{121} = 11\)
1p
Bereken.
1p
\(\sqrt{7^{2} + 72}\)
○
\(\sqrt{7^{2} + 72} = \sqrt{49 + 72} = \sqrt{121} = 11\)
1p
Bereken.
1p
\(-\sqrt{100}\)
○
\(-\sqrt{100} = -10\)
1p
Bereken.
1p
\(\sqrt{-16}\)
○
\(\sqrt{-16}\) kan niet.
1p
Bereken.
1p
\(\sqrt{6^{2}}\)
○
\(\sqrt{6^{2}} = 6\)
1p
Bereken.
1p
\(\sqrt{(-6)^{2}}\)
○
\(\sqrt{(-6)^{2}} = \sqrt{36} = 6\)
1p