## how to check if √2 is rational or irrational?? explain in detail​

Question

how to check if √2 is rational or irrational?? explain in detail​

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3 months 2021-07-21T00:48:33+00:00 2 Answers 0 views 0

## Answers ( )

1. Step-by-step explanation:

Let’s suppose √2 is a rational number. Then we can write it √2 = a/b where a, b are whole numbers, b not zero. We additionally assume that this a/b is simplified to lowest terms, since that can obviously be done with any fraction.

A proof that the square root of 2 is irrational.

2 = (2k)2/b2

b2 = 2k2

2. Step-by-step explanation:

Let’s suppose √2 is a rational number. Then we can write it √2 = a/b where a, b are whole numbers, b not zero. We additionally assume that this a/b is simplified to lowest terms, since that can obviously be done with any fraction.