Question

the value of
$\sqrt[3]{2197}$
​

Answer 1

Answer:

Step 1:

Take the digit present at the unit’s place of 2197.

Unit Place of 2197 has —> 7

Step 2:

Check with the cubes table provided above. The cube of which number has 7 at its unit place?

Clearly, 33 = 27

That means the cubic root of 2197 will have 3 at the unit place.

Say, 3√2197 = ?3

Step 3:

So, we have got the unit place digit of the required value.

Now ignore the last 3 digits of 2197, i.e. 197

Taking 2 as a reference number, we can see 2 lies between 13 and 23, i.e., between 1 and 8.

So, we will choose here the lowest number, nearest to 2, which is 1.

Since, 13 = 1, therefore, we will have 1 as the first digit of the required number.

Hence, 3√2197 = 13

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