13) To find the square root of 5, Beau estimated that
since 22=4 and 32-9, the square root must be
between 2 and 3. Beau guesses that the square
root of 5 is 2.5. Is his estimate high or low? How.
do you know?

The estimation above is known to be high due to the fact that 5 is seen to be quite close to 4 so √5 will close to 2+ 3/2 = 2.5 and this is is lower than the estimate.

For one to have a good estimate, the first step is to select a number that is seen between 2 and 3 such as 2.8 , 2,85 and have the square of them.

So, 2.1² = 3.41

2.2² = 4.8

2.3²= 5.28

Looking at the example given, √5 lies between 2.2 and 2.3 and as such, Based on the above, his his estimate is high and the good estimate for is 2.2.

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13) To find the square root of 5, Beau estimated that since 22=4 and 32-9, the square root must be between 2 and 3. Beau guesses that the square root of 5 is 2.5. Is his estimate high or low? How. do you know?

Answer :

What is the estimate about?

Other Questions

13) To find the square root of 5, Beau estimated that
since 22=4 and 32-9, the square root must be
between 2 and 3. Beau guesses that the square
root of 5 is 2.5. Is his estimate high or low? How.
do you know?