Simplify. Assume j is greater than or equal to zero. sqrt 8j^8 ______

Breakdown of Expression: Now, let's express sqrt(8j^8) as sqrt(2*2*2*j^8). We can pair the factors into perfect squares where possible. sqrt(8j^8) = sqrt(2^2 * 2 * j^8)Simplify Perfect Squares: Next, we simplify the expression by taking the square root of the perfect squares. sqrt(2^2 * 2 * j^8) = 2 * j^4 * sqrt(2) This is because the square root of 2^2 is 2, and the square root of j^8 is j^4.Write Simplified Expression: Finally, we write the simplified expression. The simplified expression is 2j^4 * sqrt(2).

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

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Algebra 1

Simplify radical expressions with variables

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Q. Simplify. Assume

j

is greater than or equal to zero.

\newline

\sqrt{8j^8}

Breakdown of Expression: Now, let's express $\sqrt{8j^8}$ as $\sqrt{2\times 2\times 2\times j^8}$ . We can pair the factors into perfect squares where possible. $\sqrt{8j^8} = \sqrt{2^2 \times 2 \times j^8}$
Simplify Perfect Squares: Next, we simplify the expression by taking the square root of the perfect squares. $\sqrt{2^2 \times 2 \times j^8} = 2 \times j^4 \times \sqrt{2}$ This is because the square root of $2^2$ is $2$ , and the square root of $j^8$ is $j^4$ .
Write Simplified Expression: Finally, we write the simplified expression. $\newline$ The simplified expression is $2j^4 \times \sqrt{2}$ .