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Simplify. Assume jj is greater than or equal to zero.\newline8j8\sqrt{8j^8}

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Q. Simplify. Assume jj is greater than or equal to zero.\newline8j8\sqrt{8j^8}
  1. Breakdown of Expression: Now, let's express 8j8\sqrt{8j^8} as 2×2×2×j8\sqrt{2\times 2\times 2\times j^8}. We can pair the factors into perfect squares where possible. 8j8=22×2×j8\sqrt{8j^8} = \sqrt{2^2 \times 2 \times j^8}
  2. Simplify Perfect Squares: Next, we simplify the expression by taking the square root of the perfect squares. 22×2×j8=2×j4×2\sqrt{2^2 \times 2 \times j^8} = 2 \times j^4 \times \sqrt{2} This is because the square root of 222^2 is 22, and the square root of j8j^8 is j4j^4.
  3. Write Simplified Expression: Finally, we write the simplified expression.\newlineThe simplified expression is 2j4×22j^4 \times \sqrt{2}.

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