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Prove that the product of (5+2 under root 3 and (5-2under root 3 is rational |
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Answer» prove that the product of ( 5+2√3 and 5-2√3 is rational). Step-by-step explanation:Let US assume that 5+2√3 is rational 5+2√3=p/q( where people and q are CO PRIME)2√3= p/q -52√3= p-5 q/q√3= p-5q 12qNow p, 5,2 and q and INTEGERS = p-5q/2q is rational√3 is rationalBut wo know that√3 is irrational.that is a contradiction which has arisen due to our WRONG assumption.therefore,5+2√3 is irrational. |
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