Question

Answer 1

a)      \(\left(3-\sqrt{2}\right)\sqrt{11+6\sqrt{2}}\)

(=)     \(\left(3-\sqrt{2}\right)\left(3+\sqrt{2}\right)\)

(=)       \(9-2\)

(=)        7

Answer 2

b: Ta có: \(\left(2\sqrt{5}+1\right)\cdot\sqrt{21-4\sqrt{5}}\)

\(=\left(2\sqrt{5}+1\right)\left(2\sqrt{5}-1\right)\)

=20-1

=19

c: Ta có: \(\sqrt{7+4\sqrt{3}-\sqrt{28-10\sqrt{3}}}\)

\(=\sqrt{7+4\sqrt{3}-5+\sqrt{3}}\)

\(=\sqrt{5\sqrt{3}+2}\)