Question

hich expression is rational? a. 4.121221222… b.square root of 36 c. square root of 21 d.1.192744502…

Answer 1

A rational number is any number that can be expressed as the quotient of fraction of two integers.So the answer is b.square root of 36 = √36=6 because 6 is the quotient of 6/1

Answer 2

Answer: The correct option is (B) square root of 36.

Step-by-step explanation:  We are given to select the correct number that is irrational.

RATIONAL NUMBER: The digits after the decimal are either terminating or repeating.

IRRATIONAL NUMBER: The digits after the decimal are non-repeating and non-terminating.

Option (A) is  4.121221222 . . .

Here, the digits after the decimal are non-repeating and non-terminating. So, the given number is irrational.

Option (B) is  square root of 36, which is equal to 6.

6 = 6.00.

Here, the digits after the decimal are terminating. So, the given number is rational.

Option (C) is  square root of 21.

We know √21 = 4.5825756 . . .

Here, the digits after the decimal are non-repeating and non-terminating. So, the given number is irrational.

Option (D) is 1.192744502 . . .

Here, the digits after the decimal are non-repeating and non-terminating. So, the given number is irrational.

Thus, the rational number is square root of 36.

Option (b) is correct.