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See http://mathforum.org/library/drmath/view/52619.html for a proof of the irrationality of sqrt(3). The proof that sqrt(5) is irrational is identical (substituting 5 for 3 in the proof).
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Is the square root of 45 rational?
sqrt 45 = sqrt 5 x sqrt 9 = 3 sqrt 5. Sqrt 5 is irrational so 3 root 5 is also 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.
Is the difference of root2 and root3 irrational?
Yes, irrational. Let p = root 2 and q = root 3. Then (q - p)2 = 5 - 2root6, which is irrational because it is the sum of an integer (5) and an irrational (2root6), and so q - p (which is root3 - root2) is irrational.
Is the square root of 25 rational or irrational?
They are +5 and -5, which are both rational.
What is square root 75 in simplest form?
The square root of 75 is an irrational number and it is 5 times the square root of 3
Is the square root of 3 plus 5 an irrational number?
Yes, the sqrt of (3+5) is irrational, because: sqrt(3+5) = sqrt of 8, which is irrational
What are three irrational numbers?
This is an easy question : root 2, root 3, root 5. Any square root of an integer which is not integral itself is irrational.
Is the square root of 45 rational?
sqrt 45 = sqrt 5 x sqrt 9 = 3 sqrt 5. Sqrt 5 is irrational so 3 root 5 is also irrational.
Is 5 in irrational number?
no. an example of an irrational number would be like the square root of 3
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.
What is the example of irrational?
Square root of 2, square root of 3, square root of 5, pi, e
Is the difference of root2 and root3 irrational?
Yes, irrational. Let p = root 2 and q = root 3. Then (q - p)2 = 5 - 2root6, which is irrational because it is the sum of an integer (5) and an irrational (2root6), and so q - p (which is root3 - root2) is irrational.
What are four irrational numbers?
under root 2, under root 3, under root 5,under root 6.
Is the square root of 25 rational or irrational?
They are +5 and -5, which are both rational.
What is square root 75 in simplest form?
The square root of 75 is an irrational number and it is 5 times the square root of 3
Is 7 plus the square root of 5 irrational and why?
7 plus the square root of 5 is an irrational number because the square root of 5 is a never ending decimal number that can't be expressed as a fraction.
Sqare root of 45?
It is 3 times sq rt 5 which is an irrational number
