To find the square root of 19 to the nearest tenth, we can first estimate the value. The square root of 16 is 4, and the square root of 25 is 5. Since 19 is between 16 and 25, we know that the square root of 19 is between 4 and 5.
Calculating further, we can find that:
- \(4.4^2 = 19.36\) (too high)
- \(4.3^2 = 18.49\) (too low)
Thus, the square root of 19 is between 4.3 and 4.4.
To be more precise, the calculator gives \(\sqrt{19} \approx 4.3589\), which rounds to 4.4 when rounded to the nearest tenth.
Therefore, the approximate value of the square root of 19 to the nearest tenth is 4.4.
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