Questions: Evaluate the radical expression. Express your answer as an integer, simplified fraction, or a decimal rounded to two decimal places. Indicate "Not a Real Number". ∛(-1000)

Evaluate the radical expression. Express your answer as an integer, simplified fraction, or a decimal rounded to two decimal places. Indicate "Not a Real Number". ∛(-1000)
Transcript text: Evaluate the radical expression. Express your answer as an integer, simplified fraction, or a decimal rounded to two decimal places. Indicate "Not a Real Number". \[ \sqrt[3]{-1000} \]
failed

Solution

failed
failed

Solution Steps

Step 1: Identify the Radical Expression

The given expression is a cube root:

\[ \sqrt[3]{-1000} \]

Step 2: Simplify the Cube Root

The cube root of a number \(a\) is a number \(b\) such that \(b^3 = a\). We need to find a number \(b\) such that:

\[ b^3 = -1000 \]

Step 3: Calculate the Cube Root

Since \((-10)^3 = -1000\), the cube root of \(-1000\) is \(-10\).

Final Answer

The simplified form of the expression is:

\[ \boxed{-10} \]

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Given tan θ = -20/21 and cos θ < 0, find sin θ and cos θ.
failedAnswered
Q7. Which law was created in 1975 to ensure that children with disabilities 1 point have the opportunity to receive a free and appropriate education? ESSA IDEA NCLB
failedAnswered
Identify the lower class limits, upper class limits, class width, class midpoints, and class boundaries for the given frequency distribution. Also identify the Age (yr) when 10-14, 15-19, 20-24, 25-29, 30-34, 35-39, 40-44. Frequency: 3, 34, 12, 3, 6, 2, 2, 3. Identify the lower class limits.
failedAnswered
A normal population has mean μ=9 and standard deviation σ=6. Find the proportion of the population that is greater than 6. Round the answers to at least four decimal places. The proportion of the population that is greater than 6 is.
failedAnswered
Find the volume of the solid of revolution formed by rotating about the x-axis the region bounded by the curves f(x)=4-x^2 and y=0. The volume is cubic units. (Type an exact answer, using π as needed.)