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If we assume that the sqare root of 5 is a rational number, then we can write it as a/b in its simplest form, where a and b have no common factors.
Therefore 5 = a2/b2
Therefore 5b2 = a2
Therefore a2 is divisible by 5, because b2 is an integer
Therefore a is divisible by 5, because 5 is a Prime number.
Therefore 5 = 5c/b, where c is an integer
Therefore 1 = c/b
Therefore c = b
Therefore sqrt 5 = 5c/c = 5, which is impossible.
So sqrt5 cannot be expressed in the form a/b, and is irrational.
What else can I help you with?
Can you factor x2-3?
5
What is the rationalizing factor of root 300?
It is root 3.
Can you factor out the radical 75?
5 times the square root of 3
How do you find the prime factorization of a square root?
Two ways: Find the square root first. If it's a whole number, find the prime factorization like you would for any other number. Or, find the prime factorization of the original number. The factors will be paired. Take one out of of each pair. Example: 900 The square root of 900 is 30. The prime factorization of 30 is 2 x 3 x 5 or The prime factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5 The square root will be 2 x 3 x 5, or 30
What is the factor of 5(x 2)3x(x 2)?
X^2 + 5 doesn't factor neatly. Applying the quadratic formula, we find two imaginary solutions: 0 plus or minus i times the square root of 5.x = 0 + 2.23606797749979ix = 0 - 2.23606797749979iwhere i is the square root of negative one.
How to prove that Assuming 5 is irrational how would you prove that 5 is irrational?
Root signs didn't show up
Is the square root of 25 rational or irrational?
They are +5 and -5, which are both rational.
How do you rationalize the square root of 5?
You cannot. The square root of 5 is irrational.
Is the square root of five?
The square root of 5 is an irrational number
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.
Is the square root of 16 over 5 rational or irrational?
The square root of (any number that isn't a perfect square) is irrational.
How is the square root of -5 classified?
Irrational
Is the square root of 5 irrational?
Yes.
Is square root of 5 irrational?
Yes, they are.
Is the square root of 5 an irrational?
Yes.
What is the example of irrational?
Square root of 2, square root of 3, square root of 5, pi, e
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.
