Prove that√5 is a irrational number

Mathematics

2 answers:

SIZIF [17.4K]3 years ago

8 0

Answer:

The square root of five is 2.2360679775...

Step-by-step explanation:

The square root of five is irrational because it never ends (example: 3.1415... )

MAVERICK [17]3 years ago

6 0

Answer: 1. This irrationality proof for the square root of 5 uses Fermat's method of infinite descent: Suppose that √5 is rational, and express it in lowest possible terms (i.e., as a fully reduced fraction) as mn for natural numbers m and n. Then √5 can be expressed in lower terms as 5n − 2mm − 2n, which is a contradiction.

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Prove that√5 is a irrational number​

Prove that√5 is a irrational number