# Between what two consecutive integers do #root3(150)# lie?

##### 2 Answers

Oct 15, 2015

5 and 6

#### Explanation:

Oct 15, 2015

#### Explanation:

and

This range can be found by experimentation:

- pick two numbers one too large and one too small (eg. 0 and 10, in this case);

- take their average (5);

- compute it's cube;

- replace the smaller number if the cube is less than 150 or the larger if the cube is greater than 150

repeat until the difference between the small and large is

OR

use a calculator to determine