Question

cube root of 0.00729

Answer 1

it is required to find the cube root of ,0.000729
this number can be rewritten as, 0.000729 = 729 /1000000
so the cube root of 0.000729  is equivalent to, ∛0.000729 = ∛729/ ∛1000000

fine the L.C.M of the number 729 as follow
729 = 3 x 3 x 3 x 3 x 3 x 3
 1000000 = 100 x 100 x 100
 so from we get
∛ 0.000729 = ∛ 3x 3 x 3 x 3 x 3 x 3 x3 /∛ 100 x100 x100
= 3 x 3 /100 
= 9 /100 = 0.09 ans

Answer 2

$\sqrt [ 3 ]{ 0.000729 } = 0.09$

Given:

0.00729

To find:

Calculate its cube root.

Answer:

The Cube root of 0.000729 is equal to $\sqrt [ 3 ] { 0.000729 }$

The above equation we can written as

$0.000729 = \frac {729}{1000000}$

LCM of 729 and 1000000 are

$LCM (729)= 3 \times 3 \times 3 \times 3 \times 3 \times 3$

$LCM (1000000) = 100 \times 100 \times 100$

$\sqrt [ 3 ]{ 0.000729 } =\frac { \sqrt [ 3 ]{ 3\times 3\times 3\times 3\times 3\times 3 }  }{ \sqrt [ 3 ]{ 100\times 100\times 100 }  }$

$= \frac { 3 \times 3} { 100 }$

$= \frac {9} { 100}$

$\sqrt [ 3 ]{ 0.000729 } = 0.09$