Final answer:
The square root of 140 falls between 11 and 12, hence the interval containing (√140) is (11,12), which is option d.
Step-by-step explanation:
The question asks which interval contains (√140). To answer this, we need to determine the approximate value of the square root of 140 and see which provided interval it falls into. First, we know that 122 = 144 and 112 = 121. Since 140 is between 121 and 144, the square root of 140 must be between 11 and 12. Thus, we can conclude that (√140) is in the interval (11,12), which corresponds to option d.