Show that √ 5 is an Irrational Numbers. Use Division Method - Mathematics

Show that `sqrt(5)` is an irrational numbers. [Use division method]

Sum

Clearly, `sqrt(5)` = 2.23606......; which is an irrational number.
Hence, `sqrt(5)` is an irrational number.

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Chapter 1: Irrational Numbers - Exercise 1.2

Chapter 1 Irrational Numbers
Exercise 1.2 | Q 3

Prove that the following is irrational:

`1/sqrt2`

In the following equation, find which variables x, y, z etc. represent rational or irrational number:

t² = 0.4

Prove that of the numbers `sqrt (6) ` is irrational:

Prove that of the numbers `5 + 3 sqrt (2)` is irrational:

Find the square of : `[3sqrt5]/5`

Write a pair of irrational numbers whose difference is rational.

Write the following in descending order:

`5sqrt(3), sqrt(15) and 3sqrt(5)`

`(6 + 5sqrt3) - (4 - 3 sqrt3)` is ______.

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

x² = 5

Show that x is irrational, if x² = 6.