Simplify the expression completely. -3sqrt1+sqrt(-25)+2root(3)(512) Answer:

Simplify -3sqrt(1): Simplify -3sqrt(1) The square root of 1 is 1, so -3 times the square root of 1 is -3. Calculation: -3 * sqrt(1) = -3 * 1 = -3Simplify sqrt(-25): Simplify sqrt(-25) The square root of a negative number is not a real number, it is an imaginary number. The square root of -25 is 5i, where i is the imaginary unit. Calculation: sqrt(-25) = 5iSimplify 2root(3)(512): Simplify 2root(3)(512) The cube root of 512 is 8, so 2 times the cube root of 512 is 16. Calculation: 2 * root(3)(512) = 2 * 8 = 16Combine simplified parts: Combine all the simplified parts Combine the results from steps 1, 2, and 3. Calculation: -3 + 5i + 16Add real numbers: Add the real numbers together Combine the real parts from the previous step. Calculation: -3 + 16 = 13Write final expression: Write the final simplified expression The final expression is the sum of the real part from step 5 and the imaginary part from step 2. Calculation: 13 + 5i

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Simplify the expression completely.

-3sqrt1+sqrt(-25)+2root(3)(512)
Answer:

Simplify the expression completely. $\newline$ $-3 \sqrt{1}+\sqrt{-25}+2 \sqrt[3]{512}$ $\newline$ Answer:

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Algebra 1

Multiplication with rational exponents

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Q. Simplify the expression completely.

\newline

-3 \sqrt{1}+\sqrt{-25}+2 \sqrt[3]{512}

\newline

Answer:

Simplify $-3\sqrt{1}$ : Simplify $-3\sqrt{1}$ The square root of $1$ is $1$ , so $-3$ times the square root of $1$ is $-3$ . Calculation: $-3 \times \sqrt{1} = -3 \times 1 = -3$
Simplify $\sqrt{-25}$ : Simplify $\sqrt{-25}$ $\newline$ The square root of a negative number is not a real number, it is an imaginary number. The square root of $-25$ is $5i$ , where $i$ is the imaginary unit. $\newline$ Calculation: $\sqrt{-25} = 5i$
Simplify $2\sqrt[3]{512}$ : Simplify $2\sqrt[3]{512}$ $\newline$ The cube root of $512$ is $8$ , so $2$ times the cube root of $512$ is $16$ . $\newline$ Calculation: $2 \times \sqrt[3]{512} = 2 \times 8 = 16$
Combine simplified parts: Combine all the simplified parts $\newline$ Combine the results from steps $1$ , $2$ , and $3$ . $\newline$ Calculation: $-3 + 5i + 16$
Add real numbers: Add the real numbers together $\newline$ Combine the real parts from the previous step. $\newline$ Calculation: $-3 + 16 = 13$
Write final expression: Write the final simplified expression $\newline$ The final expression is the sum of the real part from step $5$ and the imaginary part from step $2$ . $\newline$ Calculation: $13 + 5i$