What is the value of \(\sqrt{57+\sqrt{44+\sqrt{16+\sqrt{81}}}}\)?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 8
Nested roots are opened from the innermost root outwards, one root at a time.
\(\sqrt{81}=9\)
\(\sqrt{16+9}=\sqrt{25}=5\)
\(\sqrt{44+5}=\sqrt{49}=7\)
\(\sqrt{57+7}=\sqrt{64}=8\)