Final answer:
The square root of 16 is 4, the square root of 49 is 7, and the square root of 289 is 17. These roots are found by identifying the number that, when multiplied by itself, equals the perfect square.
Step-by-step explanation:
To find the square roots of perfect squares, you need to determine what number multiplied by itself gives you the original number. So for the square root of 16:
- √16 = 4 (Because 4 × 4 = 16)
- √49 = 7 (Because 7 × 7 = 49)
- √289 = 17 (Because 17 × 17 = 289)
Knowing how to calculate square roots is important for solving various types of problems, including equilibrium problems in chemistry and physics or simplifying equations in algebra. If using a calculator, you can usually find a square root button, or you can raise a number to the 0.5 power to find its square root.