Simplify the expression completely. root(3)(64)+root(3)(-8)-5root(3)(125)-root(3)(216) Answer:

Simplify 64 cube root: We will start by simplifying each cube root individually. root(3)(64) is the cube root of 64, which is 4 because 4^3 = 64.Simplify -8 cube root: Next, root(3)(-8) is the cube root of -8, which is -2 because (-2)^3 = -8.Simplify 125 cube root: Then, root(3)(125) is the cube root of 125, which is 5 because 5^3 = 125.Multiply by 5: Now, 5root(3)(125) is 5 times the cube root of 125, which is 5*5 = 25.Simplify 216 cube root: After that, root(3)(216) is the cube root of 216, which is 6 because 6^3 = 216.Combine simplified terms: Now we will combine all the simplified terms: 4 + (-2) - 25 - 6Perform arithmetic operations: Perform the arithmetic operations: 4 - 2 - 25 - 6 = 2 - 25 - 6 = -23 - 6 = -29

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Simplify the expression completely.

root(3)(64)+root(3)(-8)-5root(3)(125)-root(3)(216)
Answer:

Simplify the expression completely. $\newline$ $\sqrt[3]{64}+\sqrt[3]{-8}-5 \sqrt[3]{125}-\sqrt[3]{216}$ $\newline$ Answer:

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Math Problems

Algebra 2

Simplify the product of two radical expressions having same variable

Full solution

Q. Simplify the expression completely.

\newline

\sqrt[3]{64}+\sqrt[3]{-8}-5 \sqrt[3]{125}-\sqrt[3]{216}

\newline

Answer:

Simplify $64$ cube root: We will start by simplifying each cube root individually. $\newline$ $\sqrt[3]{64}$ is the cube root of $64$ , which is $4$ because $4^3 = 64$ .
Simplify $-8$ cube root: Next, $\sqrt[3]{-8}$ is the cube root of $-8$ , which is $-2$ because $(-2)^3 = -8$ .
Simplify $125$ cube root: Then, $\sqrt[3]{125}$ is the cube root of $125$ , which is $5$ because $5^3 = 125$ .
Multiply by $5$ : Now, $5\sqrt[3]{125}$ is $5$ times the cube root of $125$ , which is $5\times5 = 25$ .
Simplify $216$ cube root: After that, $\sqrt[3]{216}$ is the cube root of $216$ , which is $6$ because $6^3 = 216$ .
Combine simplified terms: Now we will combine all the simplified terms: $4 + (-2) - 25 - 6$
Perform arithmetic operations: Perform the arithmetic operations: $4 - 2 - 25 - 6 = 2 - 25 - 6 = -23 - 6 = -29$