1985
Problem - 4780
Compute $\sqrt[32]{259\times 23\times 11 +9}$.
$$\sqrt[32]{259\times 23\times 11 +9} = \sqrt[32]{259\times 253 +9}= \sqrt[32]{(256+3)\times (256-3) +9}=\sqrt[32]{256^2 - 9 +9}=\boxed{\sqrt{2}}$$
Compute $\sqrt[32]{259\times 23\times 11 +9}$.
$$\sqrt[32]{259\times 23\times 11 +9} = \sqrt[32]{259\times 253 +9}= \sqrt[32]{(256+3)\times (256-3) +9}=\sqrt[32]{256^2 - 9 +9}=\boxed{\sqrt{2}}$$