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Is 100 over 3 rational or irrational?
100/3 is a rational number
What is the difference between a rational and an irrational?
A rational number is one that can be represented as an integer or a fraction with an integer over an integer. An irrational number cannot be represented using integers. Examples of rational numbers: 2, 100, 1/2, 3/7, 22/7 Examples of irrational numbers: π, e, √2
How can you prove that 3 plus 2x⁵ is an irrational number where x⁵ is irrational?
1) Adding an irrational number and a rational number will always give you an irrational number. 2) Multiplying an irrational number by a non-zero rational number will always give you an irrational number.
Is 3 rational or irrational?
-3 is a rational number
Is the square root of 300 rational or irrational?
300 = 2 x 2 x 3 x 5 x5 and sqrt(2) is irrational then sqrt(300) is irrational
2-root5 is irrational or rational?
-3
Is the fraction 7 over 3 rational or irrational?
Rational
Is 100 over 3 rational or irrational?
100/3 is a rational number
Is 3 over rational or irrational?
3/10 is rational. Rational numbers are numbers that can be written as a fraction. Irrational Numbers cannot be expressed as a fraction.
Is the fraction 1 over 3 a rational or an irrational number?
Rational.
What is 3 over 8 as an irrational number?
3/8 is rational, it can't be irrational.
Is 3 over 10 rational or irrational?
3/10 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
Can You multiply a rational and irrational number and get an irrational product?
Yes, multiplying a rational and an irrational number gives an irrational product. For example 3 * pi = 3pi = 9.424789... or 2 * sqrt 2 = 2^(3/2).
Why is 3 square root of 2 is irrational?
sqrt(2) is irrational. 3 is rational. The product of an irrational and a non-zero rational is irrational. A more fundamental proof would follow the lines of the proof that sqrt(2) is irrational.
Is the sum of two POSITIVE irrational numbers ALWAYS irrational?
No. Two irrational numbers can be added to be rational. For example, 1/3 + 2/3 = 3/3. 1/3 and 2/3 are both irrational, but 3/3 = 1, which is rational.
Will any irrational number divided by an irrational number be irrational?
No.3*sqrt(2) and sqrt(2) are irrational. But their quotient is 3, which is rational.
Is 21 over 3 a rational or irrational number?
21/3 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
