Solve your math problems using our free math solver with step-by-step solutions. The term whose root is being considered is known as the radicand. The square root of a number is equal to the number of the square roots of each factor. For example, 19 is the square root of 361 because 19 2 = 19•19 = 361, -19 is square root of 361 because (-19) 2 = (-19)• (-19) = 361. The Go board has 361 positions (19 x 19). A radical is also in simplest form when the radicand is not a fraction. Aviv S. Square Root Table 1-100 Square roots from 1 to 100 rounded to the nearest thousandth. For example, 4 and -4 are square roots of 16 because 4² = (-4)² = 16. In mathematics, a square root of a number a is a number y such that y² = a, in other words, a number y whose square (the result of multiplying the number by itself, or y * y) is a. The square root of 361 is a quantity (q) that when multiplied by itself will equal 361. The radicand is the number or expression underneath the radical sign, in this example 9. Explanation: https://socratic.org/questions/between-what-two-consecutive-integers-do-root3-60-lie, 3 and 4 A whole number with a square root that is also a whole number is called a perfect square. It's rational, and whole and integer. All radicals are now simplified. The square root of three hundred and sixty-one √361 = 19 How To Calculate Square Roots In mathematics, a square root of a number a is a number y such that y² = a, in other words, a number y whose square (the result of multiplying the number by itself, or y * y) is a. For example, the principal square root of 9 is 3, denoted √9 = 3, because 32 = 3 ^ 3 = 9 and 3 is non-negative. The square root radical is simplified or in its simplest form only when the radicand has no square factors left. The square root of 361 in mathematical form is written with the radical sign like this √361. For example, 4 has two square roots: 2 and -2. A number bigger than zero has two square roots: one is positive (bigger than zero) and the other is negative (smaller than zero). Finding square root by prime factorisation is an easy method. We need to factories the number under the root and pair them in two. A square root of a number is a number that, when it is multiplied by itself (squared), gives the first number again. Square root of 361 is a prime number 19. Square root of a number is the value that returns the original number on multiplied by itself. The square root of three hundred and sixty-one √361 = 19. A square root of a number 'a' is a number x such that x 2 = a, in other words, a number x whose square is a. The justification for taking out the square root of any number is this theorem to help simplify √a*b = √a * √b. Explanation: What is Square Root of 361 ? √ 361 = q × q = q 2 Only numbers bigger than or equal to zero have real square roots. We call this the square root of 361 in radical form. https://socratic.org/questions/how-do-you-simplify-the-square-root-sqrt361, https://socratic.org/questions/how-do-you-solve-sqrtz-1, https://socratic.org/questions/what-is-2-sqrt-36. the cube root of 361 is 7.120367359 What is the square root of 1083 simplified as? Mar 7, 2018 The only square root of zero is zero. The radicand no longer has any square factors. For example, 4 and -4 are square roots of 16 because 4² = (-4)² = 16. For example, 2 is the square root of 4, because 2x2=4. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. USING OUR SERVICES YOU AGREE TO OUR USE OF. Let's find the perfect cubes that are closest to 60, https://socratic.org/questions/how-do-you-simplify-sqrt-363. Calculate the square root of 361 and get 19. 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