Question

Describe the location of v150 on a number line. Explain your reasoning.

Answer 1

Let 
x-------> √150
so
x²=150

we know that
10²=100
11²=121
12²=144
13²=169
x²=150
so
x< 13
x> 12
12< x<13

the value of x is in the interval (12,13)

----------*----------------------*----------*--------------*-------------------*------
           11                        12        √150           13                    14