if p is a positive rational number which is not a perfect square then value of -3√p is ?
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Given : p is a positive rational number which is not a perfect square then
To Find : -3√p
Solution:
Real numbers can be divided in 2 categories , Rational , Irrational
Rational numbers can be represented in p/q form where q ≠ 0 , and p , q are integers
p is a positive rational number
Hence √p is defined
p is not a perfect square
Hence √p is irrational
-3 is rational number
Rational number multiplied by an irrational number is always a irrational number
Hence - 3 √p is IRRATIONAL
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