Question

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$prove \: that \: \sqrt{5} \: is \: an \: irrational \: number \\ no \: spamming \: please$
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Answer 1

Answer:

here your answer

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let root 5 is irrational .......assumption

so,

root 5 = p .....p and q are co prime

----

q

squaring,

5=p2

------

q2

q2×5=p2.........(1)

5 divides p2

5 divides p

p= 5a ...........say

sub in (1)

q2×5=(5a)2

q2=5(a)2

5 divides q

so, 5 divides both p and q

but that cannot be true because p and q are co prime......

so the assumption is wrong

root 5 is irrational

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Answer 2

Answer:

Refer the attachments

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