Question

please help my friends ​

Answer 1

Answer:

i) False

ii) False

iii) True

iv) True

v) True

Step-by-step explanation:

What are Surds?

First of all, surds are irrational numbers. Surds are in the form of x^(1/y) where they represent a value of a non-terminating number.

If x^(1/y) is terminating, then it's a rational number.

i) √4 is a surd.

False.

Why? Because √4 = 4^(1/2) = 2.

2 is a rational number.

(ii) 8^(1/3) is a surd.

False.

8^(1/3) = 2.

(iii) √10 is a surd.

True

√10 = 3.16227766016

Here, √10 is a terminating decimal number.

(iv) 16^(1/4) is not a surd.

True

16^(1/4) = 2

v) 3125^(1/5) is not a surd.

True.

3125^(1/5) = 5

5 is a rational number.