Property of natural numbers

Property 7 There are no natural numbers p and q such that p^(2)=2q^(2) .

Property 6 The units digit of the square of a natural number is the units digit of the square of the digit at units place of the given natural number.

Property 9 The square of a natural number n is equal to the sum of first n odd natural numbers.

Write properties of natural rubber.

Property 1 If the units digit of a number is 237 or 8 then it does not have a square root in N( the set of natural numbers).

Write two properties of natural rubber.

Assertion : The physical properties of natural rubber can be improved by vulcanisation . Reason : Neoprene is the monomer of natural rubber .

Assertion : The physical properties of natural rubber can be improved by vulcanisation . Reason : Neoprene is the monomer of natural rubber .

The characteristic properties of natural rubber can be varied by vulcanisation. Illustrate.