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Show that 4 + 5 root 3 is an irrational number where root 3 is given to be an irrational number |
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Answer» Because, the RHS, p²/q² subtracted from 91, is RATIONAL, where p²/q² = (p/q)² is rational as it is square of a rational NUMBER p/q, but while the LHS, 40√3, is irrational. ∴ 4 - 5√3 is irrational. HENCE proved! |
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