Question

prove that 1/root 2 is irrational

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Answer 1

Answer:

To prove 1/√2 is irrational

Step-by-step explanation:

Let us assume that √2 is irrational

1/√2=p/q (where p and q are co prime)

q/p =√2

q= √2p

squaring on both sides

q^2 =2p^2 -----------(1)

By theorem

q is divisible by 2

Therefore, q=2c ( where c is an integer)

putting the value of q in eq(1)

2p^2= q^2= 2c^2= 4c^2

p^2 = 4c^2/2 = 2c^2

p^2/2= c^2

by theorem p is also divisible by 2

But p and q are coprime

This is a contardiction which has due to our wrong assumption.

Therefore, 1/√2 is irrotational

Answer 2

Answer:

please see the pic attached

Step-by-step explanation:

the last sentance is important u should write that

AND

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