Simplify : sqrt(12) Factor 12 into its prime factors 12 = 2 2 • 3 To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent. Go here for the next problem on our list. Here is the rule: when a and b are not negative. The only square root of zero is zero. The factors of 28 are 1, 2, 4, 7, 14, and 28 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 28. The largest perfect square of the factors of 50 is 25. To simplify a square root: make the number inside the square root as small as possible (but still a whole number): Example: √12 is simpler as 2√3. We can therefore convert √18 like this: √ 9 × 2 Next, we separate the numbers inside the √ as such: √ 9 × √ 2 √9 is a perfect square that equals 3. https://www.khanacademy.org/.../v/simplifying-square-root-expressions Get your calculator and check if you want: they are both the same value! Simplifying Square Roots. Greatest Perfect Square Factor Method The Greatest Perfect Square Factor Method uses the greatest perfect square factor of 28 to simplify the square root of 28. Square root of √ 15 in decimal form is 3.87298334620742. square root of 16 simplified square root of 14 simplified: Electrical Calculators Real Estate Calculators Accounting Calculators Business Calculators Construction Calculators Sports Calculators Factors which will be extracted are : 4 = 2 2 Factors which will remain inside the root are : 3 = 3 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. 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 56. We can therefore put 3 outside the radical and get the final answer to square root … We can therefore put 5 outside the radical and get the final answer to square root … We can therefore convert √50 like this: √ 25 × 2 Next, we separate the numbers inside the √ as such: √ 25 × √ 2 √25 is a perfect square that equals 5. Greatest Perfect Square Factor Method The Greatest Perfect Square Factor Method uses the greatest perfect square factor of 56 to simplify the square root of 56. * List of Perfect Squares Square Root of 24 in Decimal form rounded to nearest 5 decimals: 4.89898 Exponent Form Square Root of 24 written with Exponent instead of Radical: 24 ½ = 2 x 6 ½ Simplify Square Root of 25 The answer to Simplify Square Root of 24 is not the only problem we solved. This math video tutorial explains how to simplify square roots. The largest perfect square of the factors of 18 is 9. A whole number with a square root that is also a whole number is called a perfect square. The factors of 56 are 1, 2, 4, 7, 8, 14, 28, and 56.