using a number line, what is the approximate value of √19

A. 4.5
B. 4.13
C. 4.38
D. 4.25

1 answer

To approximate the value of √19 using a number line, we can start by finding two perfect square numbers on the number line that √19 falls between. The perfect square numbers closest to 19 are 16 (4²) and 25 (5²).

Since 19 is closer to 16, we know that √19 will be closer to 4.

The approximated value of √19 is closer to 4.13, which falls between 4 and 5 on the number line.

Therefore, the answer is B. 4.13.
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