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What else can I help you with?
If you take the square root of an irrational number.Will it be irrational too?
Certainly. Otherwise, there would be a rational number whose square was an irrational number; that is not possible. To show this, let p/q be any rational number, where p and q are integers. Then, the square of p/q is (p^2)/(q^2). Since p^2 and q^2 must both be integers, their quotient is, by definition, a rational number. Thus, the square of every rational number is itself rational.
Are integers irrational numbers?
No- integers are a kind of rational number and are not irrational. One well-known example of an irrational number is the square root of 2.
Is the square root of 432.8 rational?
The square root of 432.8 is 20.80384579831335. This is not a rational number.
Is the square of a number irrational Always sometimes never?
The square of a rational number can be either rational or irrational. However, the square of an irrational number is always irrational.
Is the square root of 63 rational?
No, the square root of 63 is not a rational number. A rational number can be expressed as the quotient of two integers, but the square root of 63 simplifies to approximately 7.94, which cannot be represented as a fraction of two integers. Since 63 is not a perfect square, its square root is irrational.
What is rational compared to irrational?
rational numbers can be represented as a ratio of integers such as 1/4 and irrational numbers can NOT. Square root of 2 is an irrational number.
Is the square root of 99 a rational number?
√99 = Square root of 99 = Irrational. Rational # are able to be expressed as the ratio of 2 integers. i.e. √25 = +5 5 = 5/1 = rational Irrational # can not be expressed as a ratio of 2 integers.
If you take the square root of an irrational number.Will it be irrational too?
Certainly. Otherwise, there would be a rational number whose square was an irrational number; that is not possible. To show this, let p/q be any rational number, where p and q are integers. Then, the square of p/q is (p^2)/(q^2). Since p^2 and q^2 must both be integers, their quotient is, by definition, a rational number. Thus, the square of every rational number is itself rational.
Is the square root of -144 rational or irrational?
It is irrational, because it is not a perfect square. For example, if you have a number that is perfect like the square root of 100, it would be 10, which is a rational number. An irrational number like 16.4 which would be a not so accurate result like 6.447583839, those are irrational numbers. Hope this helps!
What number is both rational and irrational?
None. A rational number is a number that can be written as the quotient of two integers where the divisor is not zero. An irrational number is a real number that cannot be written as the quotient of two integers where the divisor is not zero. Any given real number either can or cannot be written as the quotient of two integers. If it can, it is rational. If it cannot, it is irrational. You can't be both at the same time. The square root of -1 is not a real number and it cannot be written as the quotient of two integers, so it is neither rational nor irrational.
Are the square roots of all positive integers irrational If not give an example of the square root of a number that is a rational number?
The square root of any positive square number is always rational as for example the square root of 36 is 6 which is a rational number.
Are integers irrational numbers?
No- integers are a kind of rational number and are not irrational. One well-known example of an irrational number is the square root of 2.
Is the square root of 432.8 rational?
The square root of 432.8 is 20.80384579831335. This is not a rational number.
Is the square root of 29 a rational or an irrational number?
The square root of 29 is an irrational number.
Is the square of a number irrational Always sometimes never?
The square of a rational number can be either rational or irrational. However, the square of an irrational number is always irrational.
If you get a whole number while doing square roots what would the answer be rational or irrational?
A rational number is a number that can be expressed as the division of two integers, while the divisor is not zero. An irrational number is any number that is not rational.Whole numbers are rational, because the divisor is 1. It has nothing to do with square roots.
Is the square root of 9 rational or irrational?
The square root of 9 is a rational number. This is because the square root of 9 is equal to 3, which can be expressed as a fraction, 3/1. In general, a rational number is any number that can be expressed as a ratio of two integers, which is the case for the square root of 9.
