Question

Tell whether the square root of 2/8 and the square root of 2.56 are rational or irrational and explain how you know.

Answer 1

Answer:

The square root of 2/8 and the square root of 2.56 are both rational

Step-by-step explanation:

Here's why,

-The square root of  2/8 is equal to the square root of 1/4 and the square root of 1/4 is nothing but 1/2,(because root 4 is 2) so the root of 2/8 is 1/2 which is rational( or not a complex number)

-2.56 can be written as 256/100, by further cancellation we get 64/25 now thr square root of 64 is 8 and the square root of 25 is 5 so the root of 2.56 is 8/5 which is a rational number