Question

Which number has a cube root between 7 and 8

Answer 1

Step-by-step explanation:

Here ,There are no options given to choose which number is a cube root between 7 & 8 . So below provided answer is way to choose which numbers have cube root between 7 & 8 .

Here  , We have to find that Which number has a cube root between 7 and 8  . Let's find out :

We know that ,

$\sqrt[3]{343} = 7\\\sqrt[3]{512} = 8$

So , the number which have cube root between 7 & 8 will surely lie in between of 343 & 512  . Suppose the numbers which which have cube root between 7 & 8  are $x_1,x_2,x_3,....,x_n$ , So these numbers lie between 7 & 8 i.e.

⇒ $343<x_1,x_2,x_3,....,x_n<512$

Therefore, all the numbers which lies between 343 and 512 or $343<x_1,x_2,x_3,....,x_n<512$  , have a cube root between 7 & 8 .

Answer 2

Step-by-step explanation:

The numbers having cube roots between 7-8 are as follows -

Cube Roots - Cube root is a value of the Number such as  $27=3*3*3$

 here cube root of 27 is 3 as when we multiply 3 thrice we get the number.

The above question requires a number which has cube root between 7 and 8.

$1.92*1.92*1.92=7.07$  

$1.93*1.93*1.93=7.18$

$1.94*1.94*1.94=7.30$

$1.95*1.95*1.95=7.41$

$1.96*1.96*1.96=7.52$

$1.97*1.97*1.97=7.64$

$1.98*1.98*1.98=7.76$

$1.99*1.99*1.99=7.88$

the numbers which are cube roots between 7 and 8 are - 1.92,1.93,1.94,1.95,1.96,1.97,1.98,1.99.