Question

find the cube root of 226981 by estimate method

Answer 1

Answer:

$\sqrt[3]{226981}=61$

Step-by-step explanation:

Given Number 226981

To find: Cube root by estimate method.

Following steps are used:

Step 1: Make groups of 3 digits starting from the right most digit of the number.

We get 226 , 981 groups of 3-digits

Step 2: First group that is 981 will give the ones digit of the required cube root.

The number 981 ends with 1. We know that 1 comes at the ones place of a number only when it's cube roots ends in 1.

So, we get 1 at the ones place of the cube root.

Step 3: Now take another group that is 226.

We know that 6³ = 216 and 7³ = 343. Also, 216 < 226 < 343.

We take the ones place of the smaller number 216 as the tens place of the required cube root.

So, we get 6 at the tens place of the cube root.

Therefore, $\sqrt[3]{226981}=61$

Answer 2

Answer:

Answer:

\sqrt[3]{226981}=61

3

226981

=61

Step-by-step explanation:

Given Number 226981

To find: Cube root by estimate method.

Following steps are used:

Step 1: Make groups of 3 digits starting from the right most digit of the number.

We get 226 , 981 groups of 3-digits

Step 2: First group that is 981 will give the ones digit of the required cube root.

The number 981 ends with 1. We know that 1 comes at the ones place of a number only when it's cube roots ends in 1.

So, we get 1 at the ones place of the cube root.

Step 3: Now take another group that is 226.

We know that 6³ = 216 and 7³ = 343. Also, 216 < 226 < 343.

We take the ones place of the smaller number 216 as the tens place of the required cube root.

So, we get 6 at the tens place of the cube root.

Therefore, \sqrt[3]{226981}=61

3

226981

=61