Question

Which of the following values of x is irrational (1) x²=25 (2) x²=18 (3)x³=27 (4)x⁴=16

Answer 1

Step-by-step explanation:

(1) x^2=25

x=√25(in irrational form)

x=5(in rational)

(2) x=√18(irrational)

(3) x=3√27=cube root of 27

=3(rational)

(4)x=4√16= fourth root of 16

=2(rational)

Answer 2

(1)

x²=25

x=5,-5

It is rational

(2)

x²=18

x= 3√2

It is irrational

(3)

x³=27

x= 3

It is rational

(4)

x⁴=16

x= 2

It is rational

Therefore option (2) is irrational