Question

Please help!!!

Estimate the value of \sqrt(14)+\sqrt(3) to the nearest hundredth.


A. 3.79

B. 5.47

C. 2.01

D. 4.12

Answer 1

B.

Explanation:

Let's figure out what two consecutive integers is 14 between.

We also need to do this for 3.

14 is between 9 and 16 which means
`√(14)` is between
`√(9)` and
`√(16)`.

3 is between 1 and 4 which means
`√(3)` is between
`√(1)` and
`√(4)`.

So 14 is closer to 16 which means
`√(14)` is closer to 4. Let's say
`√(14)\approx 3.7`

So 3 is closer to 4 which means
`√(3)` is closer to 2. Let's say
`√(3)\approx 1.8`.

So now we do 3.7+1.8=5.5.

The answer that is closet to this is 5.47.

Now if we put
`√(14)+√(3)` in our calculator we get:

3.74+1.73=5.47