Question

$\sqrt{20+{\sqrt{{{20}}+{\sqrt{{{22}}+{\sqrt{{8}+{\sqrt{1}}}}}}}}}=?$

• A. 20
• B. 9
• C. 5
• D. 71

Answer 1

Answer:

C. 5

$\sqrt{20+{\sqrt{{{20}}+{\sqrt{{{22}}+{\sqrt{{8}+{\sqrt{1}}}}}}}}}$

$=\sqrt{20+{\sqrt{{{20}}+{\sqrt{{{22}}+{\sqrt{9}}}}}}}$

$=\sqrt{20+{\sqrt{{{20}}+{\sqrt{{{22}}+3}}}}}$

$=\sqrt{20+{\sqrt{{{20}}+5}}}$

$=\sqrt{20+5}=5$