Question

Define the two categories of irrational number with an example .Also plot √8.3 on a no. line.​

Answer 1

Answer:

An irrational number is a real number that cannot be expressed as a ratio of integers, for example, √ 2 is an irrational number. Again, the decimal expansion of an irrational number is neither terminating nor recurring.

As another example, √2 = 1.414213…. is irrational because we can't write that as a fraction of integers. The decimal expansion of √2 has no patterns whatsoever. In particular, it is not a repeating decimal. Some examples of irrational numbers are π,e,ϕ, and many roots.

Answer 2

Answer:

An irrational number is a real number that cannot be expressed as a ratio of integers, for example, √ 2 is an irrational number. Again, the decimal expansion of an irrational number is neither terminating nor recurring.

As another example, √2 = 1.414213…. is irrational because we can't write that as a fraction of integers. The decimal expansion of √2 has no patterns whatsoever. In particular, it is not a repeating decimal. Some examples of irrational numbers are π,e,ϕ, and many roots.