Final answer:
The square root of 24 is estimated to be 4.9 when rounded to the nearest tenth. This can be done either through approximation between the square roots of 4 and 5 or by using a calculator and rounding the result to the nearest tenth.
Step-by-step explanation:
To estimate the square root of 24 to the nearest tenth, first, identify the perfect squares closest to 24, which are 4 and 25, with square roots of 4 and 5 respectively. Since 24 is closer to 25, we can estimate that the square root of 24 is a little less than 5. To get a more accurate estimate, you can do a bit of guess and check method, try mid-values between 4.8 and 5, and square them until you find the value closest to 24.
Alternatively, using a calculator to find the exact square root of 24 results in approximately 4.898979, which when rounded to the nearest tenth gives us 4.9.
Remember, for calculations involving more complex roots like the fourth root, you can raise the number to the 0.25 power or take the square root twice using the calculator's square root function or the y* button.