To approximate the value of irrational numbers, we can use rational numbers that are close to the irrational number and calculate their decimal values.
For example, to approximate the value of √2, we can use rational numbers such as 1.4 and 1.5.
Calculating the square of 1.4:
1.4^2 = 1.96
Calculating the square of 1.5:
1.5^2 = 2.25
Since 1.96 is less than √2 and 2.25 is greater than √2, we can conclude that √2 lies between 1.4 and 1.5.
Therefore, an approximate value of √2 is 1.4.
Similarly, we can approximate other irrational numbers such as √3, √5, and π using this method.