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teachoo.com
Example 7 - Show that 3 root 2 is irrational - Chapter 1
Example 7Show that 3√2 is irrational.We have to prove 3√2 is irrationalLet us assume the opposite, i.e., 3√𝟐 is rationalHence, 3√2 can be written in the form 𝑎/𝑏 where a and b (b≠ 0) are co-prime (no common factor other than 1)Hence, 3√𝟐 = 𝒂/𝒃 √2 " = " 1/3 " × " (𝑎 )/𝑏 " "
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