# Shortcuts Method for Finding Cube Root

 Number cube Last digit of cube 1 $1^{3}=1\times 1\times 1$ = 1 1 2 $2^{3}=2\times 2\times 2$ = 8 8 3 $3^{3}=3\times 3\times 3$ = 27 7 4 $4^{3}=4\times 4\times 4$ = 64 4 5 $5^{3}=5\times 5\times 5$ = 125 5 6 $6^{3}=6\times 6\times 6$ = 216 6 7 $7^{3}=7\times 7\times 7$=343 3 8 $8^{3}=8\times 8\times 8$ =512 2 9 $9^{3}=9\times 9\times 9$ = 729 9 10 $10^{3}=10\times 10\times 10$ = 1000 0

## Find the cube root of the following Number

Questions 1) $\sqrt[3]{3375}$

Solution:

Step 1: Fist we need to ignore last three digit . i.e 375

Step 2: Now from the above table, find cube of a number which is less than and nearest to 3 .That number is 1 so left part of answer is 1

Step 3: Since the last digit of '3375' is 5 .From the above table the last digit of 5 comes from the cube of 5 . It means right part of answer will 5.

Questions 2) $\sqrt[3]{79507}$ = ?

Solution:

Step 1: Fist we need to ignore last three digit . i.e 507

Step 2: Now from the above table, find cube of a number which is less than and nearest to 79 .That number is 4 so left part of answer is 4

Step 3: Since the last digit of '79507' is 7 .From the above table the last digit of 8 comes from the cube of 3 . It mean right part of answer will be 3

Questions 3) $\sqrt[3]{373248}$ = ?

Solution:

Step 1: Fist we need to ignore last three digit . i.e 248

Step 2: Now from the above table, find cube of a number which is less than and nearest to 373 .That number is 7 so left part of answer is 7

Step 3: Since the last digit of '373248' is 8 .From the above table the last digit of 8 comes from the cube of 2 . It mean right part of answer will be 2

Questions 4) $\sqrt[3]{438976}$ = ?

Solution:

Step 1: Fist we need to ignore last three digit . i.e 976

Step 2: Now from the above table, find cube of a number which is less than and nearest to 438 .That number is 7 so left part of answer is 7

Step 3: Since the last digit of '438976' is 6 .From the above table the last digit of 6 comes from the cube of 6 . It mean right part of answer will be 6

Questions 5) $\sqrt[3]{238328}$ = ?

Solution:

Step 1: Fist we need to ignore last three digit . i.e 832328

Step 2: Now from the above table, find cube of a number which is less than and nearest to 238 .That number is 6 so left part of answer is 6

Step 3: Since the last digit of '238328' is 8 .From the above table the last digit of 8 comes from the cube of 2 . It mean right part of answer will be 2