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Is the product of two irrational numbers always an irrational number?
No. The square root of two is an irrational number. If you multiply the square root of two by the square root of two, you get two which is a rational number.
Consider the irrational number 73 . Between what two integers is the value of this number?
73 is not irrational!
What statement explains why is an irrational number?
An irrational number is a real number that cannot be expressed as a ratio of two integers.
What is a number that can not be written as a fraction called?
an irrational number fractions are ratios of integers; if its irrational, it can't be written as a ratio of two integers
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)
