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Is the square root of 18 halves a rational or irrational number?
Sqrt(18/2) =Sqrt(9) =3 which is rational.
Is negative 18 rational or irrational?
-18 is the ratio of -18 and 1 ... nice and rational. Also the ratio of 18 and -1, of 36 and -2, of 180 and -10, etc.
Is -18 rational?
-18 is a rational number
Is the square root of 18 rational and why?
No. √18 cannot be expressed as a fraction of the form p/q. 18 = 2 x 9 = 2 x 32 ⇒ √18 = √(2 x 32) = (√2) x 3. So if √2 is rational then √18 is rational. Assume √2 is rational. Then p and q can be found such that √2 = p/q is in its simplest form, that is p and q have no common factor. Consider: (√2)2 = (p/q)2 ⇒ 2 = p2/q2 ⇒ p2 = 2q2 Thus p2 is even, and so p must be even. Let p = 2r. Then: p2 = (2r)2 = 2q2 ⇒ 4r2 = 2q2 ⇒ 2r2 = q2 Thus q2 is even, and so q must be even. Let q = 2s. Thus p = 2r, q = 2s and so p and q have a common factor of 2. But p and q are such that they have no common factor. Contradiction. Thus the assumption that √2 is rational is false, that is √2 is not rational, so √18 is not rational.
What is 4 18 is it rational or irrational?
It is a rational number
Is 12 over 18 a rational or irrational number?
The fraction 12/18 can be simplified to 2/3 by dividing both the numerator and denominator by their greatest common divisor, which is 6. Since the fraction 2/3 can be expressed as a ratio of two integers and can be written in the form a/b where a and b are integers and b is not equal to 0, it is considered a rational number. Rational numbers are numbers that can be expressed as a ratio of two integers.
Can the product of two irrational numbers be rational Explain your answer and support with an example?
Yes. sqrt(2) and sqrt(18) = 3*sqrt(2) are both irrational. But their product is sqrt(2)*3*sqrt(2) = 3*2 = 6 which is rational.
Is -12 divided by 6 rational or irrational?
-18
Is 1000000 a rational number?
Yes
Give 5 rational numbers that are not integers?
1/2, -3/5, 16/97, 15/2, -18/7
Can you divide two irrational numbers to get a rational number?
Yes. sqrt(18)/sqrt(2) = 3*sqrt(2) / sqrt(2) = 3
Is negative 18 rational?
Yes
