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SASMO 2021 Grade 8 Question 24

SASMO · SASMO 2021 Grade 8

Question 24

For a positive real number $x$, $[x]$ is the greatest integer less than or equal to $x$. For example, $[2.35]=2$. Find the ones digit of $\left[(\sqrt2+\sqrt3)^{20}\right]$.

Answer format: enter one whole number without units; leading zeros are optional. The source answer sheet uses four digits (for example, 7 is shaded as 0007).