Herleid.
1p
\({\sqrt{80} \over \sqrt{8}}\)
○
\({\sqrt{80} \over \sqrt{8}} = \sqrt{10}\)
1p
Herleid.
1p
\({32 \sqrt{21} \over 8 \sqrt{7}}\)
○
\({32 \sqrt{21} \over 8 \sqrt{7}} = {32 \over 8} ⋅ {\sqrt{21} \over \sqrt{7}} = 4 \sqrt{3}\)
1p
Herleid.
1p
\({15 \sqrt{63} \over 5 \sqrt{7}}\)
○
\({15 \sqrt{63} \over 5 \sqrt{7}} = {15 \over 5} ⋅ {\sqrt{63} \over \sqrt{7}} = 3 ⋅ \sqrt{9} = 3 ⋅ 3 = 9\)
1p
Bereken.
1p
\((\sqrt{11})^{2}\)
○
\((\sqrt{11})^{2} = 11 \text{.}\)
1p
Bereken.
1p
\(5 (\sqrt{8})^{2}\)
○
\(5 (\sqrt{8})^{2} = 5 ⋅ 8 = 40 \text{.}\)
1p
Bereken.
1p
\((2 \sqrt{7})^{2}\)
○
\((2 \sqrt{7})^{2} = 2^{2} ⋅ \sqrt{7}^{2} = 4 ⋅ 7 = 28 \text{.}\)
1p
Bereken.
1p
\((-3 \sqrt{6})^{2} - 2 (\sqrt{5})^{2}\)
○
\((-3 \sqrt{6})^{2} - 2 (\sqrt{5})^{2} = (-3)^{2} ⋅ (\sqrt{6})^{2} - 2 ⋅ (\sqrt{5})^{2} = 9 ⋅ 6 - 2 ⋅ 5 = 44 \text{.}\)
1p
Bereken.
1p
\((3 \sqrt{4} - 8) (3 \sqrt{4} + 8)\)
○
\((3 \sqrt{4} - 8) (3 \sqrt{4} + 8) = (3 \sqrt{4})^{2} - 8^{2} = 9 ⋅ 4 - 64 = 36 - 64 = -28 \text{.}\)
1p
Bereken.
1p
\(\sqrt{64} - \sqrt{16}\)
○
\(\sqrt{64} - \sqrt{16} = 8 - 4 = 4\)
1p
Bereken.
1p
\(12 \sqrt{100} - 7 \sqrt{16}\)
○
\(12 \sqrt{100} - 7 \sqrt{16} = 12 ⋅ 10 - 7 ⋅ 4 = 92\)
1p
Herleid.
1p
\(\sqrt{13} - 6 \sqrt{13}\)
○
\(\sqrt{13} - 6 \sqrt{13} = -5 \sqrt{13}\)
1p
Herleid.
1p
\(9 \sqrt{7} + 6 \sqrt{6}\)
○
\(9 \sqrt{7} + 6 \sqrt{6}\) kan niet korter.
1p
Bereken.
1p
\(9 ⋅ \sqrt{25}\)
○
\(9 ⋅ \sqrt{25} = 9 ⋅ 5 = 45\)
1p
Bereken.
1p
\(\sqrt{25} ⋅ \sqrt{81}\)
○
\(\sqrt{25} ⋅ \sqrt{81} = 5 ⋅ 9 = 45\)
1p
Herleid.
1p
\(2 \sqrt{3} ⋅ 4 \sqrt{48}\)
○
\(2 \sqrt{3} ⋅ 4 \sqrt{48} = 8 ⋅ \sqrt{144} = 8 ⋅ 12 = 96\)
1p
Herleid.
1p
\(4 \sqrt{7} ⋅ 3 \sqrt{2}\)
○
\(4 \sqrt{7} ⋅ 3 \sqrt{2} = 12 \sqrt{14}\)
1p
Herleid.
1p
\({5 \sqrt{5} \over 9}\)
○
\({5 \sqrt{5} \over 9} = \frac{5}{9} \sqrt{5} \text{.}\)
1p
Bereken.
1p
\(\sqrt{0}\)
○
\(\sqrt{0} = 0\)
1p
Bereken.
1p
\(\sqrt{49}\)
○
\(\sqrt{49} = 7\)
1p
Bereken.
1p
\(\sqrt{64}\)
○
\(\sqrt{64} = 8\)
1p
Bereken.
1p
\(\sqrt{6^{2} + 13}\)
○
\(\sqrt{6^{2} + 13} = \sqrt{36 + 13} = \sqrt{49} = 7\)
1p
Bereken.
1p
\(-\sqrt{64}\)
○
\(-\sqrt{64} = -8\)
1p
Bereken.
1p
\(\sqrt{-16}\)
○
\(\sqrt{-16}\) kan niet.
1p
Bereken.
1p
\(\sqrt{5^{2}}\)
○
\(\sqrt{5^{2}} = 5\)
1p
Bereken.
1p
\(\sqrt{(-11)^{2}}\)
○
\(\sqrt{(-11)^{2}} = \sqrt{121} = 11\)
1p