Math, asked by withluckygamingstyle, 2 months ago

prove that please help me​

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Answers

Answered by kudumalaashok
0

Answer:

above is the pic

Step-by-step explanation:

I hop it's help

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Answered by IINiRII
4

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Step-by-step explanation:

The following proof is a proof by contradiction.

Let us assume that √6 is rational number.

Then it can be represented as fraction of two integers.

Let the lowest terms representation be:

√6 = a/b

Note that this representation is in lowest terms and hence, a and b have no common factors

a ² =6b²

From above a ² is even. If a² is even, then a should also be even.

⟹a=2c

4c² = 6b²

2c²=3b²

From above 3b² is even. If 3b² is even, then b² should also be even and again b is even.

But a and b were in lowest form and both cannot be even. Hence, assumption was wrong and hence,

6

is an irrational number.

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