Math, asked by priya4565, 11 months ago

pt root 2 is irrational no. by contraction method

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Answered by meghasg2004

Answer:

let us assume that √2 is rational

then √2 = a/b

b√2 = a

squaring on both sides

a² = 2b²

if 5 divides a then 5 also divides b

a = 2c

squaring on both sides

a²=4c²

2b²=4c²

b²=4c²

here a,b,c have 2 as common factor

so,2 is rational number

but √2 is irrational

this contradiction has arrisen due to our incorrect assumption

this contadicts the fact that√2 is irrational

hope it helps u

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Answered by Anonymous

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▬▬▬▬▬ஜ۩۞۩ஜ▬▬▬▬▬▬

let us assume that √2 is rational

then √2 = a/b

b√2 = a

squaring on both sides

a² = 2b²

if 5 divides a then 5 also divides b

a = 2c

squaring on both sides

a²=4c²

2b²=4c²

b²=4c²

▬▬▬▬▬ஜ۩۞۩ஜ▬▬▬▬▬▬

☞ ʜᵃᵛᵉ ᴀ ɢᵒᵒᵈ ᴅᵃʸ ☜

ʕ•ٹ•ʔ ᵇʳᵃⁱⁿˡʸ_ᵗʳᵉᵃˢᵘʳᵉ,

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pt root 2 is irrational no. by contraction method