d) "Square root of 3/5." 23 1 over 4 square root 27 3.402538 3. The square root of 130 is a quantity (q) that when multiplied by itself will equal 130. ... 28.06.2019 16:30. Is the square root of 52 rational or irrational? Thus, the 5th root of 32 is rational because 32 is a 5th power, namely the 5th power of 2. 1. 5.858585858 63.4 square root 21 square root 36 2. And a slight caveat: I'm assuming that your class or text is assuming that all real numbers have square roots (and therefore if there is not rational square root the square root must be irrational). e) "2/3." Since 52 is not a perfect square, it is an irrational number. Name the property of real numbers illustrated by the equation. Roberto: "I will use square root 4 and square root 9." Irrational numbers are infinitely dense and therefore the concept of consecutive numbers cannot be applied to irrational numbers. It is an irrational number if it is not a perfect square. This means that the answer to "the square root of … The square root of 52 is a rational number if 52 is a perfect square. “Is the square root of 20 an integer and/or a rational, irrational, whole, or natural number?” I have the unsettling feeling that I’m being asked to do someone’s homework for them. In the same way we saw that only the square roots of square numbers are rational, we could prove that only the nth roots of nth powers are rational. Which of these numbers can be classified as both real and irrational? √ 130 = q × q = q 2 Is this number rational or irrational? The square root of 300 is irrational. We call this the square root of 130 in radical form. 33 is not a perfect 5th power. Which of these numbers . Which is both a real number and an integer? But I’ll bite. No, only perfect squares like 25 and 36, which are around 30, have a Square root that is a rational number. On a calculator: √150 = 12.24744871. Is √150 rational or irrational? MATH. 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