Final answer:
To approximate the value of √23 to the nearest tenth, you can use the process of estimation.
Step-by-step explanation:
To approximate the value of √23 (the square root of 23) by rounding to the nearest tenth, we can use the process of estimation. Firstly, we find two perfect square numbers between which 23 lies. In this case, 16 (4^2) and 25 (5^2) are the perfect squares that 23 falls between. Since 23 is closer to 25, we know that √23 is slightly greater than 4.5. Therefore, when rounding to the nearest tenth, we can approximate √23 as 4.5.
Learn more about Approximating square roots