Question

help mee

Answer 1

\(A=\sqrt{4+\sqrt{5\sqrt{3}+5\sqrt{48-10\sqrt{7+4\sqrt{3}}}}}\)

\(A=\sqrt{4+\sqrt{5\sqrt{3}+5\sqrt{48-10\left(2+\sqrt{3}\right)}}}\)

\(A=\sqrt{4+\sqrt{5\sqrt{3}+5\sqrt{28-10\sqrt{3}}}}\)

\(A=\sqrt{4+\sqrt{5\sqrt{3}+5\left(5-\sqrt{3}\right)}}\)

\(A=\sqrt{4+\sqrt{25}}\)

\(A=\sqrt{4+5}=3\)

Answer 2

\(B=\sqrt{13+30\sqrt{2+\sqrt{9+4\sqrt{2}}}}\)

\(B=\sqrt{13+30\sqrt{2+2\sqrt{2}+1}}\)

\(B=\sqrt{13+30\left(\sqrt{2}+1\right)}\)

\(B=\sqrt{43+30\sqrt{2}}\)

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