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If you take the square root of an irrational number.Will it be irrational too?
Wiki User
∙ 14y ago
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.
Wiki User
∙ 14y ago
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When you take the square root of an irrational number will the outcome be rational or irrational?
The square root of an irational number must, itself, be irrational.
Is root 2 a rational number?
The square root of 2 is irrational. In general, the square root of a positive integer is either an integer (if you take the square root of a perfect square), or it is irrational.
Is the square root of .75 rational?
No. The square root of most numbers is irrational - only if the number of which you take the root happen to be perfect squares, do you get a rational root. In this case, to take the square root of 3/4, 3 is not a perfect square, so the root is not rational. Or you can take .75 to be 75/100; once again, 75 is not a perfect square, so the root is irrational.
What type of number can you take the square root of and it will be irrational?
Any irrational number, and most rational number.
How do you solve x2 equals 10?
Take the square root of both sides. x=the square root of 10. It is an irrational number. Approximately 3.15
When you take the square root of an irrational number will the outcome be rational or irrational?
The square root of an irational number must, itself, be irrational.
Is root 2 a rational number?
The square root of 2 is irrational. In general, the square root of a positive integer is either an integer (if you take the square root of a perfect square), or it is irrational.
What happens when you take the square root of a non-perfect square?
You get an irrational number as the square root.
Are square root irrational?
Usually they are. More specifically, if you take the square root of a positive integer, there are only two possibilities:* If you take the square root of a perfect square, you get a whole number. * In all other cases, you get an irrational number.
Are irrational numbers square roots?
Usually they are. More specifically, if you take the square root of a positive integer, there are only two possibilities:* If you take the square root of a perfect square, you get a whole number. * In all other cases, you get an irrational number.
Is the square root of .75 rational?
No. The square root of most numbers is irrational - only if the number of which you take the root happen to be perfect squares, do you get a rational root. In this case, to take the square root of 3/4, 3 is not a perfect square, so the root is not rational. Or you can take .75 to be 75/100; once again, 75 is not a perfect square, so the root is irrational.
What type of number can you take the square root of and it will be irrational?
Any irrational number, and most rational number.
Is the square root of negative 3 an irrational or a real number?
Neither. All irrational numbers are real numbers.Using the real number system you can't take the square root of a negative number, but if you're dealing with imaginary numbers then the square root of negative 3 is the square root of 3i
How do you solve x2 equals 10?
Take the square root of both sides. x=the square root of 10. It is an irrational number. Approximately 3.15
What whole numbers does the square root of 63 lie on?
The square root of 63 is an irrational number, which means it cannot be expressed as a fraction of two integers and its decimal representation goes on forever without repeating. When we take the square root of 63, we get approximately 7.937253933, which is an irrational number. Therefore, the square root of 63 does not lie on any whole number. Follow my YouTube channel @Flourishinmath where I teach engaging math lessons.
Is the square root of -25 irrational or complex?
you cant get the square root of a negative number. nothing times itself would equal a negative number. if you have √-25 then its not possible. If you have -√25 then you take the square root of 25 and make it negative, so then it would be -5
Irrational number between 8 and 9?
An irrational number is a number which cannot be expressed as a fraction made of integers. These numbers generally have infinite decimals with no pattern to them whatsoever. The easiest way, I think, to make an irrational number is to take the square root of a number between the squares of your parameters, in this case between 64 and 81. Thus a number such as square root(72), which is 8.485281..., or square root(80), which is 8.944571..., will do nicely.
