Sho that root p + root q is an irrational number
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root p+root q=rational
think a and b are rational numbers
root p+root q =a÷b
squaring on both sides
p+q+2rootpq=asquare÷bsquare
2rootpq=a square ÷b square-(p+q)
rootpq=a square ÷b square-(p+q)÷2
irrational =rational
so rootp+rootq=irrational
think a and b are rational numbers
root p+root q =a÷b
squaring on both sides
p+q+2rootpq=asquare÷bsquare
2rootpq=a square ÷b square-(p+q)
rootpq=a square ÷b square-(p+q)÷2
irrational =rational
so rootp+rootq=irrational
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