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Examine whether root 2 is a irrational numbers. Fast fast fast .and step by step. 10 th one. |
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Answer» HEY mate!!!! Let√2 is rational So, √2=a/b,a and b are INTEGERS, b not EQUAL to 0, and b are CO PRIME √2b=a Squaring on both sides 2b^2=a^2 b^2=a^2/2 If 2 divides a^2 then 2 also divides a Put a^2=4c^2 b^2=4c^2/2 b^2=2c^2 b^2\2=c^2 If 2 divides b^2 then 2 also divides b Hence , 2 is common factor of a and b But a and b are co prime So, √2 is not rational It is irrational |
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