Check Whether the Square of the Following is Rational Or Irrational: 3 √ 2 - Mathematics

Check whether the square of the following is rational or irrational:

`3sqrt(2)`

Sum

`(3sqrt(2))^2`
= 9 x 2
= 18, which is rational

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Chapter 1: Irrational Numbers - Exercise 1.2

Chapter 1 Irrational Numbers
Exercise 1.2 | Q 2.1

Examine, whether the following number are rational or irrational:

`(sqrt2+sqrt3)^2`

Identify the following as rational or irrational number. Give the decimal representation of rational number:

`sqrt4`

Define irrational numbers .

Write a pair of irrational numbers whose difference is irrational.

State whether the following number is rational or irrational

`((sqrt5)/(3sqrt(2)))^2`

Let x and y be rational and irrational numbers, respectively. Is x + y necessarily an irrational number? Give an example in support of your answer.

Classify the following number as rational or irrational with justification:

`sqrt(9/27)`

Insert a rational number and an irrational number between the following:

2 and 3

Show that x is irrational, if x² = 6.

The number `(5 - 3sqrt(5) + sqrt(5))` is ______.