As an example, we'll show how to calculate the square root of 72 72. Our main tool here will be prime factorization, i. e. , splitting 72 72 into its smallest pieces possible. Use this calculator to find the principal square root and roots of real numbers. Inputs for the radicand x can be positive or negative real numbers. The answer will also tell. How do you calculate the square root of 72? To calculate the square root of a number, you need to find the number that when multiplied by itself, gives you the original. Simplify square root of 72. Rewrite 72 72 as 62 ⋅2 6 2 ⋅ 2. Tap for more steps. √62 ⋅2 6 2 ⋅ 2. Pull terms out from under the radical. The result can be shown in. The square root of 72 can only be simplified. Let us see what the square root of 72 is. √ 72 = 8. 4852. What is the square root of 72? Rewrite the square root of the product \sqrt{6^{2}\times 2} as the product of square roots \sqrt{6^{2}}\sqrt{2}. Take the square root of 6^{2}. Square a number by multiplying it by itself. To understand square roots, it's best to start with squares. Squares are easy—taking the square of a number is just. The calculator will instantly simplify the expression and provide the result, helping you save time and effort. √ 72 = 6√ 2 = 8. 4853. The solution above and other related solutions were provided by the find the square root of a number application. The square root of 72 is 8. 485. What is the square root of 72? The definition of the square root of a number is the value that, when multiplied by itself, gives the original. How do you simplify the square root of 72? Simplify the square root. 72 = 12 × 6 = 4 × 3 × 2 × 3 = 2 × 2 × 3 × 2 × 3 = 2 × 2 × 3 × 3 × 2 = 2 2 × 3 2 × 2. Square root of a number is the number which when multiplied with itself results in the original number. Hence, the square root of 72 i. e. 8. 4828… when multiplied by itself results. On most calculators you can do this by typing in 72 and then pressing the √x key. You should get the following result: √72 ≈ 8. 4853. How to calculate the square root of 72 with a computer. Steps to find the square root of 72: Find the smallest integer that can divide the number. Keep following the long division using divisor and dividend. The square root calculator finds the square root of the given radical expression. If a given number is a perfect square, you will get a final answer in exact form. If a given number is not a. Radical equations are equations involving radicals of any order. We will show examples of square roots; Copyright, community guidelines, dsa & other legal resources. To simplify a square root: Make the number inside the square root as small as possible (but still a whole number ): √12 is simpler as 2√3. To simplify a square root, you just have to factor the number and pull the roots of any perfect squares you find out of the radical sign. Once you've memorized a few common. To simplify the square root of 72 means to get the simplest radical form of √72. List the factors of 72 like so: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72. \sqrt{\square} \nthroot[\msquare]{\square} \le \ge \frac{\msquare}{\msquare} \cdot \div: X^{\circ} \pi \left(\square\right)^{'} \frac{d}{dx} \frac{\partial}{\partial x} \int.