Simplify the expression completely. sqrt100+root(3)(64)+5root(3)(-729) Answer:

Simplify sqrt(100): Simplify sqrt(100). sqrt(100) is the square root of 100, which is the number that when multiplied by itself gives 100. Calculation: sqrt(100) = sqrt(10 × 10) = 10Simplify root(3)(64): Simplify root(3)(64). root(3)(64) is the cube root of 64, which is the number that when multiplied by itself three times gives 64. Calculation: root(3)(64) = root(3)(4 × 4 × 4) = 4Simplify 5root(3)(-729): Simplify 5root(3)(-729). 5root(3)(-729) is five times the cube root of -729, which is the number that when multiplied by itself three times gives -729. Calculation: root(3)(-729) = root(3)(-9 × -9 × -9) = -9 Therefore, 5root(3)(-729) = 5 × (-9) = -45Combine results: Combine the results from steps 1, 2, and 3. We have found that sqrt(100) = 10, root(3)(64) = 4, and 5root(3)(-729) = -45. Now we add these values together. Calculation: 10 + 4 - 45 = 14 - 45 = -31

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Simplify the expression completely.

sqrt100+root(3)(64)+5root(3)(-729)
Answer:

Simplify the expression completely. $\newline$ $\sqrt{100}+\sqrt[3]{64}+5 \sqrt[3]{-729}$ $\newline$ Answer:

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Q. Simplify the expression completely.

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\sqrt{100}+\sqrt[3]{64}+5 \sqrt[3]{-729}

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Answer:

Simplify $\sqrt{100}$ : Simplify $\sqrt{100}$ . $\newline$ $\sqrt{100}$ is the square root of $100$ , which is the number that when multiplied by itself gives $100$ . $\newline$ Calculation: $\sqrt{100} = \sqrt{10 \times 10} = 10$
Simplify $\sqrt[3]{64}$ : Simplify $\sqrt[3]{64}$ . $\sqrt[3]{64}$ is the cube root of $64$ , which is the number that when multiplied by itself three times gives $64$ . Calculation: $\sqrt[3]{64} = \sqrt[3]{4 \times 4 \times 4} = 4$
Simplify $5\sqrt[3]{-729}$ : Simplify $5\sqrt[3]{-729}$ .
$5\sqrt[3]{-729}$ is five times the cube root of $-729$ , which is the number that when multiplied by itself three times gives $-729$ .
Calculation: $\sqrt[3]{-729} = \sqrt[3]{-9 \times -9 \times -9} = -9$
Therefore, $5\sqrt[3]{-729} = 5 \times (-9) = -45$
Combine results: Combine the results from steps $1$ , $2$ , and $3$ . $\newline$ We have found that $\sqrt{100} = 10$ , $\sqrt[3]{64} = 4$ , and $5\sqrt[3]{-729} = -45$ . $\newline$ Now we add these values together. $\newline$ Calculation: $10 + 4 - 45 = 14 - 45 = -31$