167k views
1 vote
Which interval contains (√140)?
a. (12,13)
b. (13,14)
c. (10,11)
d. (11,12)

1 Answer

1 vote

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.

User Scottyaz
by
8.6k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories