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Misha Larkins [42]
3 years ago
13

On a number line, will the square root of 20 be closer to 4.4 or 4.5

Mathematics
2 answers:
stiv31 [10]3 years ago
7 0

Answer: 4.5 would be closer

Step-by-step explanation: 4.4x4.4 is 19.36 which is about 64 points away and 4.5x4.5 is 20.25 which is 25 points away

faltersainse [42]3 years ago
7 0

Answer:

4.5

Step-by-step explanation:

Nearest of square root of 20

\sqrt{20}

To choose closer from two numbers 4.4 or 4.5

First we find the square of both number.

Square of 4.4

4.4^2 = 19.36

Square of 4.5

4.5^2=20.25

Now compare the closer number from 20

Difference of,  20.25 - 20 = 0.25

Difference of, 20-19.36 = 0.64

As we know, 0.25<0.64

Hence, On number line square root closer to 4.5

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Let n represent the number.
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The number could be 7 or 12.


_____
Check:
.. (7 -9)^2 = (-2)^2 = 4 = 7 -3 . . . . answer checks OK
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