The cube root of 1331 times the cube root of 64 is

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The cube root of 1331 times the cube root of 64 is

The cube root of 1331 times the cube root of 64 is

Answer :

 

Result of \\sqrt3{1.331} \\:\\times \\: \\sqrt3{64} is 44. The cube root of 1.331 is 11. The cube root of 64 is 4.

Detailed discussion of Root 3

CUBE ROOT

Finding the cube root can be done by:

  1. Create a factor tree from number the.
  2. Write down the factorization of the number.
  3. Divide the factorization power of a number by 3.

Example

\\sqrt3{1.728}

1.728

/   \\

2    864

/   \\

     2    432

/   \\

2    216

/   \\

2   108

/   \\

2    54

/   \\

2    27

/  \\

3    9

/  \\

3   3

\\sqrt3{1.728} \\:=\\: \\sqrt3{2^6 \\times 3^3}

= 2^{6 \\div 3} \\times 3^{3 \\div 3}

=2² × 3¹

= 4×3

=12

Asked:

\\sqrt3{1.331} \\:\\times \\: \\sqrt3{64} ?

Explanation

Determine \\sqrt3{1.331}

1.331

/  \\

11   121

/  \\

11   11

\\sqrt3{1.331} \\:=\\: \\sqrt3{11^3} \\:=\\: 11^{3 \\div 3} = 11¹ = 11

Determine \\sqrt3{64}

64

/  \\

2   32

/   \\

2    16

/  \\

2    8

/  \\

2    4

/  \\

2   2

\\sqrt3{64} \\:=\\: \\sqrt3{2^6} \\:=\\: 2^{6 \\div 3} = 2² = 4

 

\\sqrt3{1.331} \\:\\times \\: \\sqrt3{64}

=11 × 4

=44

 

Question Details

Class : VI

Course : Mathematics

Chapter : Cubic and Cube Roots

 

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