prove that 5+√3 is an irrational number
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let assumed 5+√3 is an rational number
5t√3 = p/q
take √5 in first side .
√3= p/q - 7
Now u take lcm of p/q and 7
√3= p/q - 7 /1
and it's become
√3= p-7q/ q
.then
p-7q/q is an rational number
so..
5+√3 is an irrational number ..
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