find the value of $sqrt3{- 1000}$.
find the value of $sqrt3{- 1000}$.
Answer
Explanation:
Step1: Recall cube - root definition
We know that if $x^3 = a$, then $x=\sqrt[3]{a}$. We need to find a number $x$ such that $x^3=-1000$.
Step2: Factorize - 1000
We know that $-1000=(-10)\times(-10)\times(-10)$. That is, $(-10)^3=-1000$.
Answer:
$- 10$