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Yes, √3 + √5 is irrational.
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Is Golden ratio a rational or irrational?
It is irrational. Any number that cannot be written as a fraction is irrational. So if the Golden Ratio were rational, instead of a never-ending decimal number, you'd see a fraction. The official measurement is (1+sqrt5)/2. sqrt5 is irrational.
Is the golden ratio a rational number?
The golden ratio is not a rational number. It cannot be expressed exactly as the quotient of two integers. It can be expressed as the quotient: (1+SQRT5)/2 where SQRT5 menas the square root of 5 (that is not a rational number either and so no quitient involving it is a rational number)
Is the square root of 5 a function?
Yes, if your equation is f(x) = sqrt5(x). The square root is also a function itself, if that's what you mean.
Is an irrational number raised to an irrational power irrational?
yes
Can 2 irrational add to an irrational number?
Yes. The sum of two irrational numbers can be rational, or irrational.
Is Golden ratio a rational or irrational?
It is irrational. Any number that cannot be written as a fraction is irrational. So if the Golden Ratio were rational, instead of a never-ending decimal number, you'd see a fraction. The official measurement is (1+sqrt5)/2. sqrt5 is irrational.
Is Sqrt3 plus sqrt5 Irrational?
Two different irrationals can't make a rational...
Is phi a real number?
Yes. It is equal to (1 + sqrt5) / 2 = ~1.618 which, though irrational, is a purely real number; i.e. it has no imaginary component.
How do you prove that the length of an edge of a regular dodecahedron inscribed in the unit sphere is root five minus one?
Actually, I make it 3 - sqrt5 So before we attempt a proof, where did the sqrt5 - 1 result come from?
How do you approximate the golden ratio to the nearest ten-thousandth?
Evaluate (1+sqrt5)/2. This is equal to 1.6180
Is the golden ratio a rational number?
The golden ratio is not a rational number. It cannot be expressed exactly as the quotient of two integers. It can be expressed as the quotient: (1+SQRT5)/2 where SQRT5 menas the square root of 5 (that is not a rational number either and so no quitient involving it is a rational number)
Is the square root of 5.777 rational or irrational?
Irrational. Irrational. Irrational. Irrational.
Is the square root of 0.025 irrational or rational?
It is irrational.
Is 37.5 a rational or irrational number?
Rational
Is the square root of 5 a function?
Yes, if your equation is f(x) = sqrt5(x). The square root is also a function itself, if that's what you mean.
The sum of a rational number and an irrational number?
Such a sum is always irrational.
Is a negative irrational number irrational?
If it says "negative irrational", then obviously it is irrational.
