Question

$\sqrt{1+{\sqrt{4+\sqrt{{21}+{\sqrt{16}}}}}}=$

• A. 4
• B. 2
• C. 3
• D. 6

Answer 1

Answer:

B. 2

$\sqrt{1+{\sqrt{4+\sqrt{{21}+{\sqrt{16}}}}}}$

$=\sqrt{1+{\sqrt{4+\sqrt{21+4}}}}$

$=\sqrt{1+{\sqrt{4+5}}}=\sqrt{1+{\sqrt{9}}}=\sqrt4=2$