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What type of number is the golden ratio?
I am not certain what you mean by "type." The golden ratio is the number (1+Sqrt(5))/2, and is thus a real, irrational number.
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.
Can the product of any two irrational numbers be a rational number?
Yes. For example, if you multiply the square root of 2 (an irrational number) by itself, the answer is 2 (a rational number). The golden ratio (Phi, approx. 1.618) multiplied by (1/Phi) (both irrational numbers) equals 1 (rational). However, this is not necessarily true for all irrational numbers.
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
Irrational number that is not a square root?
Examples of irrational numbers which are not square roots of whole numbers are pi (3.14159 to five decimal places), the golden ratio (1.6180339887...) and silver ratio (2.4142135623), and the twelfth root of two, which is the difference between any two notes in an even-tempered musical scale.
