Show that x is irrational, if x^2 = 6. - Mathematics

Show that x is irrational, if x² = 6.

एक शब्द/वाक्यांश उत्तर

x² = 6

x = `sqrt 6`

It is irrational.

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अध्याय 1: Rational and Irrational Numbers - Exercise 1 (D) [पृष्ठ २३]

अध्याय 1 Rational and Irrational Numbers
Exercise 1 (D) | Q 11. (i) | पृष्ठ २३

Give an example of two irrational numbers whose:

sum is a rational number.

Define irrational numbers .

Which of the following is irrational?

An irrational number between 2 and 2.5 is

Prove that the following number is irrational: 3 - √2

Classify the following number as rational or irrational with justification:

`sqrt(28)/sqrt(343)`

Classify the following number as rational or irrational with justification:

0.5918

Find whether the variable x represents a rational or an irrational number:

x² = 5

Find whether the variable u represents a rational or an irrational number:

`u^2 = 17/4`

Prove that `7 + 4sqrt(5)` is an irrational number, given that `sqrt(5)` is an irrational number.