Question
Find the cube root of $17576$ through estimation.
✓
Answer
We have given a number $=17576$.
Step $1$ Form groups of three starting from the rightmost digit of $17576.$
$17 576. $ In this case one group i.e., $576$ has three digits whereas $17$ has only two digits.
Step $2$ Take $576.$
The digit $6$ is at its one's place.
Thus, one's place of the required cube root as $6 .$
Step $3$ Take the other group, i.e., $17.$
Cube of $2$ is $8$ and cube of $3$ is $27.17$ lies between $8$ and $27 .$
The smaller number among $2$ and $3$ is $2$ .
The one's place of $2$ is $2$ itself. Take $2$ as ten's place of the cube root of $17576 .$
Therefore, $3 \sqrt{17576}=26$
Step $1$ Form groups of three starting from the rightmost digit of $17576.$
$17 576. $ In this case one group i.e., $576$ has three digits whereas $17$ has only two digits.
Step $2$ Take $576.$
The digit $6$ is at its one's place.
Thus, one's place of the required cube root as $6 .$
Step $3$ Take the other group, i.e., $17.$
Cube of $2$ is $8$ and cube of $3$ is $27.17$ lies between $8$ and $27 .$
The smaller number among $2$ and $3$ is $2$ .
The one's place of $2$ is $2$ itself. Take $2$ as ten's place of the cube root of $17576 .$
Therefore, $3 \sqrt{17576}=26$
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