Question

Choose the correct answer from the alternatives given.
${10}^n-(5+\sqrt{7}{)}^n$ is divisible by $2^{n+2}$ for what whole number value of n.

• A. 2
• B. 3
• C. 7
• D. Never

Answer 1

The correct option is D Never

${10}^n-(5+\sqrt{7}{)}^n$ always has an irrational part which will never be completely divisible by $2^{n+2}$