Let's check this width √62500*2=√125000. We can therefore put 5 outside the radical and get the final answer to square root … Let's check this with √9*14=√126. If you mean: root(3)(125) then this is: root(3)(125) => root(3)(5 xx 25) => root(3)(5 xx 5 xx 5) = 5 3 xx sqrt125 = 15sqrt5 and root(3)125 = 5 I have heard many students read root(3)n as "the third square root of n". Now extract and take out the square root √62500 * √2. This is a mistake. How do you write #sqrt(125)# in simplified radical form? The free calculator will solve any square root, even negative ones and you can mess around with decimals too!The square root calculator below will reduce any square root to its simplest radical form as well as provide a brute force rounded approximation of any real or imaginary square root.. To use the calculator simply type any positive or negative number into the text box. 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. As you can see the radicals are not in their simplest form. Algebra Radicals and Geometry Connections Simplification of Radical Expressions. The square root is root(2)n (usually denoted sqrtx), the third (or cube) root is root(3)n, the fourth root is root(4)n and so on. Simplified Square Root for √126 is 3√14; Step by step simplification process to get square roots radical form: First we will find all factors under the square root: 126 has the square factor of 9. Simplified Square Root for √128 is 8√2; Step by step simplification process to get square roots radical form: First we will find all factors under the square root: 128 has the square factor of 64. Let's check this with √64*2=√128. As you can see the radicals are not in their simplest form. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Simplified Square Root for √125000 is 250√2; Step by step simplification process to get square roots radical form: First we will find all factors under the square root: 125000 has the square factor of 62500. Now extract and take out the square root √64 * √2. The largest perfect square of the factors of 50 is 25. As you can see the radicals are not in their simplest form. Whichever was meant the first step for simplifying is the same.