Question

what is the cube root of 0.512 over 0.343

Answer 1

0.512 = 512/1000
the cube root of 512/1000 is 8/10 = 0.8
0.343 = 343
cube root = 7/10 = 0.7

Answer 2

The question is what is the cube root of 0.512 over 0.343

The expression in the question can be written as

$\frac{0.512}{0.343}$

we have to find the cube root of this fraction.

let us make these decimal numbers as whole numbers by multiplying both numerator and denominator with 1000

$\frac{0.512}{0.343} \times 1000 = \frac{512}{343}$

A number that is multiplied by itself twice gives a particular number called a cube number.

Likewise, The number obtained by multiplying the same number twice, then the multiplier is called the cube root.

let x be the number, and the cube root of the number can be written as

$\sqrt[3]{x}$

let us substitute the given expression in the value of x we get the answers as

$\sqrt[3]{ \frac{512}{343} }$

The cube root of this number can be obtained as the number 512 os obtained by multiplying the digit 8.

As 343 can be obtained by multiplying the digit 7.

The cube root can be written as

$\sqrt[3]{ \frac{8 \times 8 \times 8}{7 \times 7\times 7} }$

for every 3 times a digit, we have to take it one time

$\frac{8}{7}$

Therefore, the final answer to the given question is

$\frac{8}{7}$

It can also be written as 0.8/0.7 as the cube root of 1000 is 10.

Then both numerator and denominator get divided by 1000 gives the value as 0.8/0.7

#spj6

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