a) \(\sqrt[]{144}.\sqrt[]{-\dfrac{-49}{64}}.\sqrt[]{0,01}\)
\(=12.\dfrac{7}{8}.0,1\)
\(=12.\dfrac{7}{8}.\dfrac{1}{10}=\dfrac{21}{20}\)
c) \(\sqrt{\left(4-\sqrt[]{15}\right)^2}+\sqrt[]{15}\)
\(=\left|4-\sqrt[]{15}\right|+\sqrt[]{15}\)
\(=4-\sqrt[]{15}+\sqrt[]{15}\left(4>\sqrt[]{15}\right)\)
\(=4\)
e) \(\sqrt{\left(2\sqrt[]{2}-3\right)^2}+2\sqrt[]{2}\)
\(=\left|2\sqrt[]{2}-3\right|+2\sqrt[]{2}\)
\(=3-2\sqrt[]{2}+2\sqrt[]{2}\left(2\sqrt[]{2}< 3\right)\)
\(=3\)
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