Question

give two irrational number between 2^1/2 and 5^1/2​

Answer 1

Answer:

Two irrational numbers between 2^½ and 5^½ are;

1) 1.45389158610215804102120481915452.............

2) 2.0157023749192943413123048491804..............

Step-by-step explanation:

Since, 1.414^2 = 2;

2^½ = (1.414^2)^½ = 1.414^(2x½) = 1.414

Since, 2.236^2 = 5

5^½ = (2.236^2)^½ = 2.236^(2x½) = 2.236

Therefore, two irrational numbers are;

1) 1.45389158610215804102120481915452.............

2)2.0157023749192943413123048491804..............

Or directly;

2^½ = √2 = 1.414

5^½ = √5 = 2.236

Thus, find the irrational numbers.