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Why root 3 is irrational

Sagot :

Laxbro2007idn

Given:To find: is an irrational number. Solution: (Were p and q is a co-prime)Squaring both the side in above equationif 3 is a factor of Then, 3 will also be a factor of p  {where m is a integer}Squaring both sides we getSubstitute the value of  in the equation If 3 is a factor of Then, 3 will also be factor of qHence, 3 is a factor of p & q bothSo, our assumption that p & q are co-prime is wrong.So,  is an "irrational number". Hence proved.

Clarch19idn

Answer:

irrational because the square root of a non-perfect square results in a non-repeating, non-terminating decimal which is what irrational numbers are described as

Step-by-step explanation:

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