Question

Find the value of cube root of the number $823$. (Round off your number to the nearest whole number)

• A. $8$
• B. $7$
• C. $9$
• D. $10$

Answer 1

The correct option is C $9$

We need to find value of $\sqrt[3]{3823}$
Take, $n=823$, choose any starting value of $x$.
So, $9^3$ is $729<823$
So, $x=9$
$x_{\text{next}}=$ $\frac{2}{3}x+\frac{n}{3x^2}$
$x_{\text{next}}=$ $\frac{2}{3}9+\frac{823}{3\times 9^2}$
$x_{\text{next}}=9.386$
So, the nearest whole number for the cube root $823$ is $9$.