The square root of any negative number is equal to the square root of its absolute value followed by i - an imaginary number representing the square root of minus one. Step V: The fraction obtained in Step IV is the square root of the given fraction. Also, 4.333333... is a rational number because we know exactly what the number is. 256 = 2 x 128 = 2 x 2 x 64 The square root of 1530 is a rational number if 1530 is a perfect square. The Square root of 25 is 5. √25 = a/b => +5 or -5 Because +5 or -5 are whole numbers and whole numbers are part of rational numbers. $\sqrt{2}=1.4142135…$ $\sqrt{3}=1.7320508…$ $\pi=3.14159265…$ A number that is not a rational number is called an irrational number. Irrational numbers include $(\pi)$ and square root. Examples on square root of rational numbers 1) Find the square root of rational numbers 256/441. A perfect square is a number x where the square root of x is a number a such that a 2 = x and a is an integer. Additionally, 25 is a perfect square. We write, for example, = 5. The square root of 2, or the one-half power of 2, written in mathematics as or /, is the positive algebraic number that, when multiplied by itself, equals the number 2. The number under the radical sign is called the radicand.In the example, 25 … For proving that, let's assume that √25 is a rational number. "The square root of 25 is 5." It is an irrational number if it is not a perfect square. 5 is a rational number.. A rational number is a whole integer, like 3 or 5 or -8. Step 2 : Decompose the number inside the radical sign into prime factors. This mark is called the radical sign (after the Latin radix = root). Then, we can write √25 = a/b where, a, b are whole numbers and where, b is not zero. Yes, square root of 25 is a rational number. These numbers are not regular, as shown below. C. square root of 17 All of the following numbers are rational except square root of 17 NOT: A. square root of 25 B. square root of 1.44 D. square root of 121 root of -20. all numbers squared give you a positive number. What is the square root of 1530 written with an exponent? Rational numbers can be expressed as a fraction, while other numbers are irrational. All square … To determine if a number is rational you need to see if you can write the value exactly as a fraction (or ratio) of two integers. The square root of 25 is a rational number. Rational = terminating (Ex: 4.3 or 8) Irrational = not terminating (Ex: Pi, or 7.3 repeating) Not a real number = error, not possible (Ex: the sq. For example, 4, 9 and 16 are perfect squares since their square … Square root of 25 is a rational number because it is a terminating number, unlike Pi. Mar 21, 2012 - Is the square root of 25 a rational number? Therefore, such that sqrt(25) = 5, sqrt(-25… √ 1530 ≈ 39.12/1 ≈ 3912/100 ≈ 39 3/25. Step 3 : According to the index, we can take one number out of the radical sign. Step 1 : Identify the index of the given radical. The positive square root of 64 is 8, and all integers are rational by definition. ... fraction using the square root of 1530 rounded to the nearest hundredth. Solution : We have, √(256/441) = √(256)/√(441) First find the square roots of 256 and 441 separately using prime factorization method. To find square root and cube root of a rational number, we have to do the following steps.