Question

Use the binomial theorem to compute the square root of 26. (Hint = 26^1/2)

Answer 1

A number raised to the 1/2 power is the same as taking the square root of the number.

Answer 2

we know 5^2 = 25 which is close to 26 so we can write
26 = 25 + 1 then (26)^1/2 =(25 + 1)^1/2 = 25^1/2 (1 + 1/25)^1/2 = 5(1+1/25)^1/2
you can continue expanding to be more precise.

Answer 3

@ktm thank you