is the square root of 110 rational or irrational?
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The square root of 110 is a rational number if 110 is a perfect square. It is an irrational number if it is not a perfect square. Since 110 is not a perfect square, it is an irrational number.
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Let us assume that \sqrt[3]{2} is rational. That means can be expressed in by form, where and have no common factor other than 1. ... Therefore our assumption that is rational must be wrong. So is irrational.
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Answer and Explanation: The square root of 16 is a rational number. The square root of 16 is 4, an integer. This is because 16 is a perfect square.
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So if you find the squares of 2 and 3, that is 4&9, all the square roots of the numbers in between are 4&9 are irrational. So sqrt5, sqrt6, sqrt 7 and sqrt8 are irrational numbers between 2 and 3.
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The square root of 52 is an imperfect square. There are not a whole number times itself that equals 52. Imperfect squares can only be estimated because they are irrational numbers.
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The square root of 44 is a rational number if 44 is a perfect square. It is an irrational number if it is not a perfect square. Since 44 is not a perfect square, it is an irrational number.
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The square root of 110, √110, is approximately 10.48809.
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Irrational Numbers No fraction is equal to exactly that number. Similarly, the square root of two (√2) can be estimated as 1.4, but 1.4 * 1.4 does not equal 2 exactly. There is no fraction equaling any decimal which, multiplied by itself, equals two.
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Answer and Explanation: The square root of 16 is a rational number. The square root of 16 is 4, an integer.
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If √2 could be written as a rational number, the consequence would be absurd. So it is true to say that √2 cannot be written in the form p/q. Hence √2 is not a rational number. Thus, Euclid succeeded in proving that √2 is an Irrational number.
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The number √−1 is not real. Since the rationals are just a particular type of real number, it cannot be rational, either. and so a2=−b2. Since b2 is certainly positive, that means a2 is certainly negative, which is impossible.
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The square root of 16 is a rational number. ... This is because 16 is a perfect square.
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20 is not a perfect square, so it's square root is irrational. ... It is an irrational number, meaning that it cannot be expressed as a fraction. It is not an integer or a whole number or a natural number.
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No. The square root of negative one, is not a rational number. The square of any rational number is always a positive number , but the square of is , which is not positive. ... It is a complex number, specifically a pure imaginary number.
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Answer and Explanation: The square root of 100 is a rational number.
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The square root of 25 is a rational number. Additionally, 25 is a perfect square. This means that you can multiply an integer by itself and obtain 25:...
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Answer and Explanation: No, the square root of negative 16 is not a rational number.