Show whether √5 is rational or irrational
To determine whether the square root of 5 is rational or irrational, we must first define these terms. A rational number is any number that can be expressed as a ratio of two integers, while an irrational number is any number that cannot be expressed as such a ratio. In other words, a rational number can be written as a fraction with integers in the numerator and denominator, while an irrational number cannot be ______ ________ __________ __________ ______.
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Write down suitable mathematical statement that can be represented by the following symbolic properties.
i) ( ∃ x) ( ∃ y) ( ∀ z)P
ii) ∀ (z) ( ∃ y) ( ∃ z)Q
Show that:
Q => P and (~Q P) are equivalent.
(a) Find inverse of the following function:
State and explain De Morgan’s law for Boolean algebra
Explain principal of duality with the helpof example.
What is a relation? Explain equivalence relation with the help of an example.
Make logic circuit for the following Boolean expressions:
i) (x'y'z') + (x'yz)' + (xz'y)
ii) ( x'yz') (xyz') (x'y'z)