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Polynomials

Question

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Classify the following numbers as rational or irrational:

$fraction numerator 1 over denominator square root of 2 end fraction$

Solution

fraction numerator 1 over denominator square root of 2 end fraction

because space space 1 space left parenthesis not equal to 0 right parenthesis

is a rational number and

square root of 2 left parenthesis not equal to 0 right parenthesis

is irrational number.

therefore space space fraction numerator 1 over denominator square root of 2 end fraction

is an irrational number.

because

The quotient of a non-zero rational number with an irrational number is irrational.

Some More Questions From Polynomials Chapter

Find two rational numbers between 0.1 and 0.2.

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