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The area of a triangle can be a rational number or an irrational number depending on its dimensions.

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7y ago

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Which number can be added to a rational number to explain that the sum of rational number and an irrational number is irrational?

Any, and every, irrational number will do.


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10.01 is Rational. IRRATIONAL are those decimals, which recur to infinity and there is NO regular order in the decimal digits. pi = 3.141592..... is Irrational But 3.333333..... is rational , because the decimal digits are in a regular order. Definitely an irrational number cannot be converted into a rational number/ratio/fraction/quotient. So 10.01 is rational because it can be converted to a ratio/fraction/quotient of 10 1/100 or 1001/100


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Explain why the sum of a rational number and an irrational number is an irrational number?

Let R1 = rational number Let X = irrational number Assume R1 + X = (some rational number) We add -R1 to both sides, and we get: -R1 + x = (some irrational number) + (-R1), thus X = (SIR) + (-R1), which implies that X, an irrational number, is the sum of two rational numbers, which is a contradiction. Thus, the sum of a rational number and an irrational number is always irrational. (Proof by contradiction)


Is 37.5 a rational or irrational number?

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When an irrational number is divided by a rational number is the quotient rational or irrational?

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What is the product of rational and irrational number?

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