Q. Find the cube root of 2197

Q. Find the cube root of 2197

• Write the number 2197 as 

2/197

Ls / Rs

• We know that the cube ends with a 7, so the cube root also ends with a 3. 

(The answer at the right part of the slash or Rs is ______3.

• The left part of the slash Ls is 2. 

It lies between the perfect cubes 1 (the cube of 1) and 8 (the cube of 2)

1> 2 > 2

1³ > 2 > 2³

• Out of 1 and 2, the take smaller number 1 and write it left to the 1. 

Now the number will be 13.

This is our actual

answer 13.

Q. Find the cube root of 205379

• Write the number 205379 as 205/379

Ls / Rs

• We know that the cube ends with a 9, so the cube root also ends with a 9. 

(The answer at the right part of the slash or Rs is ______9.

• The left part of the slash Ls is 205. 

It lies between the perfect cubes 125 (the cube of 5) and 216 (the cube of 6)

216 > 205 > 125

6³ > 205 > 5³

• Out of 5 and 6, the take smaller number 5 and write it left to the 9. 

Now the number will be 59.

This is our actual

answer 59.

Q. Find the cube root of 830584

• Write the number 830584 as 830/584

Ls / Rs

• We know that the cube ends with a 4, so the cube root also ends with a 4. 

(The answer at the right part of the slash or Rs is ______4.

• The left part of the slash Ls is 830. 

It lies between the perfect cubes 729 (the cube of 9) and 1000 (the cube of 10)

729 > 830 > 1000

9³ > 681 > 10³

• Out of 9 and 10, the take smaller number 9 and write it left to the 9. 

Now the number will be 94.

This is our actual

answer 94.

Q. Find the cube root of 830584

• Write the number 681472 as 681/472

Ls / Rs

• We know that the cube ends with a 2, so the cube root also ends with a 8. 

(The answer at the right part of the slash or Rs is ______8.

• The left part of the slash Ls is 681. 

It lies between the perfect cubes 512 (the cube of 8) and 729 (the cube of 9)

512 > 681 > 729

8³ > 681 > 9³

• Out of 8 and 9, the take smaller number 8 and write it left to the 8. 

Now the number will be 88.

This is our actual

answer 88.