Question

rút gọn giúp mk nha:

a) \(\sqrt{6+\sqrt{24}+\sqrt{12}+\sqrt{8}}-\sqrt{3}\)

b) \(\sqrt{10+\sqrt{60}-\sqrt{24}-\sqrt{40}}\)

 

Answer 1

trả lời nhanh giúp mk nha........

Answer 2

a) \(\sqrt{6+\sqrt{24}+\sqrt{12}+\sqrt{8}}-\sqrt{3}\)

\(=\sqrt{6+2\sqrt{6}+2\sqrt{3}+2\sqrt{2}}-\sqrt{3}\)

\(=\sqrt{\left(\sqrt{3}+\sqrt{2}+1\right)^2}-\sqrt{3}\)

\(=\sqrt{3}+\sqrt{2}+1-\sqrt{3}\)

\(=\sqrt{2}+1\)

b)  \(\sqrt{10+\sqrt{60}-\sqrt{24}-\sqrt{40}}\)

\(=\sqrt{10+2\sqrt{15}-2\sqrt{6}-2\sqrt{10}}\)

\(=\sqrt{\left(\sqrt{5}+\sqrt{3}-\sqrt{2}\right)^2}\)

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