Greatest Perfect Square Factor Method The Greatest Perfect Square Factor Method uses the greatest perfect square factor of 80 to simplify the square root of 80. Now extract and take out the square root √16 * √5. The answer is: 4 times( 2.236 ) to three decimal places. Use the square root calculator below to find the square root of any imaginary or real number. Given: Radicand = 80. Let's check this with √16*5=√80. Simplify square root of 80. For example, 8 is the square root of 64 because 82 = 8•8 = 64, -8 is square root of 64 because (-8)2 = (-8)•(-8) = 64. The term whose root is being considered is known as the radicand. Pull terms out from under the radical. All information in this site is provided “as is”, with no guarantee of completeness, accuracy, timeliness or of the results obtained from the use of this information. Subtract from . √ 4 2 ⋅ 5 4 2 ⋅ 5. Step 2: Find Perfect Squares. 3 Answers. Answer Save. Lv 7. Or, √ 80 = 8.9442719099992 See, below on this web page, details on how to calculate this square root using the Babylonian Method 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. What is the Square Root of 80 in simplest radical form? more gifs . Get your answers by asking now. Or the square root of 1.25 x the square root of 64 Patricia. Factor out of . The Work . √ 16 ( 5) 16 ( 5) Rewrite 16 16 as 4 2 4 2. While every effort is made to ensure the accuracy of the information provided on this website, neither this website nor its authors are responsible for any errors or omissions, or for the results obtained from the use of this information. The square root of 80 (√. Rewrite 80 80 as 42 ⋅5 4 2 ⋅ 5. Applying the product rule for radicals: √ 80 = √ 16 * √ 5. Go here for the next problem on our list. For example, the principal square root of 9 is 3, denoted √9 = 3, because 32 = 3 ^ 3 = 9 and 3 is non-negative. This is good way of simplifying and non perfect square roots. Or, √ 80 = 8.9442719099992 See, below on this web page, details on how to calculate this square root using the Babylonian Method Which expression is equivalent to square root of -80? 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. Rewrite as . DWRead. The result can be shown in multiple forms. 5 years ago. you cannot have a square root of a negative number. 1 0. The only square root of zero is zero. For example, 4 and -4 are square roots of 16 because 4² = (-4)² = 16. Square roots from 1 to 100 rounded to the nearest thousandth. 0 3. The justification for taking out the square root of any number is this theorem to help simplify √a*b = √a * √b. Step by step simplification process to get square roots radical form: First we will find all factors under the square root: 80 has the square factor of 16. This is how to calculate A and B using this method: A = Calculate the square root of the greatest perfect square from the list of all factors of 80. The square root of 80 is 8.9442719099992. Your answer is 4 times the square root of 5. Square root of 80 definition. As error <= accuracy, we stop the iterations and use 8.94427191 as the square root. Step 1: List Factors. more gifs . 20 x 4. A square root of a number is a number that, when it is multiplied by itself (squared), gives the first number again. 5 x 16. Still have questions? The square root of eighty √80 = 8.9442719099992. The prime factors that multiply together to make 80 are 2 x 2 x 2 x 2 x 5. 16 times 5 = 80: The two factors are 16 and 5. The square root of 80 is a quantity (q) that when multiplied by itself will equal 80.