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Why is phi an irrational number?
phi = [1+sqrt(5)]/2 sqrt(5) is irrational and so phi is irrational.
Is the square root of 125 an irrational number?
Yes, the square root of 125 is an irrational number. It can be simplified to ( 5\sqrt{5} ), where ( \sqrt{5} ) is an irrational number. Since the product of a rational number (5) and an irrational number ((\sqrt{5})) is irrational, ( \sqrt{125} ) is also irrational.
What is an irrational number between 5 and 7?
4*sqrt(2) Rational multiples of irrational numbers are irrational. sqrt(2) is about 1.414, and 5/4 = 1.25 < 1.414... < 1.75 = 7/4 so 4*sqrt(2) is between 5 and 7, and is irrational.
Is the square of an irrational number rational?
Sometimes. eg the irrational number √2 squared is 2 which is rational (2 = 2/1) eg the irrational number √(√2) squared is √2 which is irrational.
Is 3 times the square root of 2 divided by 5 times the square root of 2 an irrational number why or why not?
I would answer no because 3√2 ____ 5√2 Would simplify to 3 divided by 5 and that is not irrational.
How can be the product of 2 irrational numbers a rational numbers 5?
5*sqrt(2) is one irrational number. 1/sqrt(2) is another irrational number.Their product is 5!5*sqrt(2) is one irrational number. 1/sqrt(2) is another irrational number.Their product is 5!5*sqrt(2) is one irrational number. 1/sqrt(2) is another irrational number.Their product is 5!5*sqrt(2) is one irrational number. 1/sqrt(2) is another irrational number.Their product is 5!
Why is phi an irrational number?
phi = [1+sqrt(5)]/2 sqrt(5) is irrational and so phi is irrational.
Is 5.4 an irrational or rational number?
5.4 = 5 2/5 = 27/5 so it is a rational number.
Is 5 irrational number?
5 isn't a irrational number.
Is a percent number an irrational number?
A percent can be represented as a fraction of x/100, and so is not irrational, unless the numerator of the fraction (the # before the %) is itself irrational. For example: 2% is not irrational. 55.443% is not irrational. sqrt(5)% is irrational.
Is 1/5 irrational number?
No. Irrational numbers can not be expressed as a ratio between two integers.
What is an irrational number between 5 and 7?
4*sqrt(2) Rational multiples of irrational numbers are irrational. sqrt(2) is about 1.414, and 5/4 = 1.25 < 1.414... < 1.75 = 7/4 so 4*sqrt(2) is between 5 and 7, and is irrational.
Is the square of an irrational number rational?
Sometimes. eg the irrational number √2 squared is 2 which is rational (2 = 2/1) eg the irrational number √(√2) squared is √2 which is irrational.
What are 3 examples of a real number that is not an irrational number?
5, 6.5, 1/2
What irrational number is the golden ratio?
1 + sqrt(5)/2 is.
Are set of irrational number closed under addition?
No. 2 + sqrt(5) and 2 - sqrt(2) are both irrational but their sum, 4 is rational.
Does an irrational number multiplied by an irrational number equal an irrational number?
The product of two irrational numbers may be rational or irrational. For example, sqrt(2) is irrational, and sqrt(2)*sqrt(2) = 2, a rational number. On the other hand, (2^(1/4)) * (2^(1/4)) = 2^(1/2) = sqrt(2), so here two irrational numbers multiply to give an irrational number.
