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Between which two consecutive whole numbers does square root of, 73, end square root
73
73
lie? Fill out the sentence below to justify your answer and use your mouse to drag square root of, 73, end square root
73
73
to an approximately correct location on the number line.
Real
√73
__
_
Answer
Attempt 1 out of 2
Since square root of, empty space, end square root
2
2
equals
=
=
and square root of, empty space, end square root
2
2
equals
=
=
it is known that square root of, 73, end square root
73
73
is between
and
.
Since the square root of 8 is 2.828 and the square root of 9 is 3, it is known that the square root of 73 is between 8 and 9.
nter the missing values in the area model to find 10, left bracket, 6, y, plus, 3, right bracket
10
(
6
�
+
3
)
10(6y+3)
10
6y
+3
The missing value in the area model is 6y. So the correct representation of 10(6y+3) is:
10
(
6y
+
3
)
how many irrational numbers are between the square root of 11 and square root of 17?
Since the square root of 8 is 2 and the square root of 9 is 3, it is known that the square root of 73 lies between 8 and 9.
To find between which two consecutive whole numbers the square root of 73 lies, we can try to approximate the value of √73.
Let's start with an initial guess. We know that the square root of 64 is 8 and the square root of 81 is 9. Since 73 is closer to 64 than 81, let's take 8 as our initial guess.
Now we can square this guess to see if it's too high or too low. 8^2 is 64, which is less than 73. So our initial guess of 8 is too low.
To get a better approximation, we can try a guess slightly higher than 8. Let's try 8.5. Squaring 8.5, we get 72.25, which is close to 73 but still slightly less.
Let's try an even higher guess of 9. Squaring 9, we get 81, which is greater than 73. So 9 is too high.
Based on this information, we can conclude that the square root of 73 is between 8.5 and 9. We can drag the label "√73" to a location approximately halfway between 8.5 and 9 on the number line.