The radicand no longer has any square factors. The square root of 15 in mathematical form is written with the radical sign like this √15. For example, 2 is the square root of 4, because 2x2=4. The square root of fifteen √15 = 3.8729833462074. The square root of 15 is a quantity (q) that when multiplied by itself will equal 15. The term whose root is being considered is known as the radicand. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. A number bigger than zero has two square roots: one is positive (bigger than zero) and the other is negative (smaller than zero). Every non-negative real number a has a unique non-negative square root, called the principal square root, which is denoted by √a, where √ is called the radical sign or radix. The square root of a number is equal to the number of the square roots of each factor. 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. Only numbers bigger than or equal to zero have real square roots. The justification for taking out the square root of any number is this theorem to help simplify √a*b = √a * √b. The only square root of zero is zero. A radical is also in simplest form when the radicand is not a fraction. The Work . For example, 4 and -4 are square roots of 16 because 4² = (-4)² = 16. What is the Square Root of 15 in simplest radical form? The radicand is the number or expression underneath the radical sign, in this example 9. A whole number with a square root that is also a whole number is called a perfect square. √ 15 = q × q = q 2 USING OUR SERVICES YOU AGREE TO OUR USE OF. All radicals are now simplified. A square root of a number is a number that, when it is multiplied by itself (squared), gives the first number again. For example, the principal square root of 9 is 3, denoted √9 = 3, because 32 = 3 ^ 3 = 9 and 3 is non-negative. For example, 4 has two square roots: 2 and -2. The square root radical is simplified or in its simplest form only when the radicand has no square factors left. Check out the work below for reducing 15 into simplest radical form . The Square Root of: The Work ${}$ ${}$ You can calculate the square root of any number , just change 15 up above in the textbox. We call this the square root of 15 in radical form. The square root of fifteen √15 = 3.8729833462074 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.