# CUBE ROOT OF RATIONAL NUMBER WORKSHEET

Evaluate the following :

 1)  ∛(1/125)2)  ∛(-8/27)3)  ∛343/644)  -∛1  91/1255)  ∛(1/64) 6)  ∛3  3/87)  ∛-2168)  ∛27/1259)  - ∛(343/1000)10)  ∛729/64

Solution

 1)  1/52)  -2/33)  7/44)  -6/55)  1/4 6)  3/27)  -68)  3/59)  -7/1010)  9/4

Evaluate each of the following :

 1)  ∛-272)  ∛1/83)  ∛274)  - ∛1/645)  ∛-8/27 6)  ∛-10007)  ∛-27/648)  -∛-649)  ∛-1/125

Solution

 1)  -32) 1/23)  34)  -1/4 5)  -2/36) -107) -3/48)  49)  -1/5

Problem 1 :

Find the value of following cube roots:

x = ∛(27 × 2744)

Solution

Problem 2 :

Evaluate

Problem 3 :

Two numbers 4x and 5x are such that sum of their cubes is 189. Find x.

Problem 4 :

The volume of a cube is 5832 m3, find the length of the side.

Problem 5 :

Three numbers are in the ratio  3 : 4 : 5. If the sum of their cubes -1728, find the three numbers.

Problem 6 :

Check whether 648 is a perfect cube or not.

Problem 7 :

Three numbers are to one another as 2:3:4. The sum of their cubes is 33957. Find the numbers.

Problem 8 :

Problem 9 :

If y = 5, then what is the value of 10y√(y3 - y2) ?

Problem 10 :

 1) x = 422)  03)  x=  14)  18 m5) x = -2 6)  Not perfect cube7)  14, 21, 288)  0.29)  50010)  16

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