WebOct 3, 2024 · Taking square root on both sides of 108 = 36×3, we get that 108 = 36 × 3 = 36 × 3 [ ∵ a × b = a × b] = 6 × 3 = 6 3 So the simplest radical form of the square root of 108 is 6√3. How to simplify root 108 Is 108 a perfect square number? We have computed that √108=6√3. So the square root of 108 is not an integer. WebThe main point of simplification (to the simplest radical form of 108) is as follows: getting the number 108. WebThe Work. The Square Root of: The Work. 108 36 ⋅ 3 36 3 6 3. 108 ≈ …
How to Find the Square Root of 108? - Cuemath
WebLet's simplify \sqrt {54x^7} 54x7 by removing all perfect squares from inside the square root. First, we factor 54 54: 54=3\cdot 3\cdot 3\cdot 2=3^2\cdot 6 54 = 3 ⋅ 3 ⋅ 3 ⋅ 2 = 32 ⋅ 6 Then, we find the greatest perfect square in x^7 x7: x^7=\left (x^3\right)^2\cdot x x7 = (x3)2 ⋅ x … WebSo let's list the factors of 108 Factors: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, Notice how 36 is the largest perfect square, so lets break 108 down into 36*3 Factor 108 into 36*3 Break up the square roots using the identity Take the square root of the perfect square 36 to get 6 So the expression simplifies to how good are condoms at preventing hiv
Cube Root of 108 - How to Find the Cube Root of 108? [Solved]
WebMay 14, 2024 · 108 = 2 ⋅ 2 ⋅ 3 ⋅ 3 ⋅ 3 So we find: √108 = √22 ⋅ 27 = √22√27 = 2√27 √108 = √32 ⋅ 12 = √32√12 = 3√12 √108 = √62 ⋅ 3 = √62√3 = 6√3 So there are several "simplifications" of √108. When asked to simplify such a square root, what is normally expected is the expression that no longer has any square factors in the radicand. WebCalculator Use. 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 you if you entered a perfect square. … WebJun 30, 2016 · √108 = 6√3 Explanation: Decomposing 108 into factors one step at a time: 108 XXX = 2 ×54 XXX = 2 ×2 ×27 XXX = 2 ×2 ×3 ×9 XXX = 2 ×2 ×3 ×3 ×3 XXX = 22 × 32 ×3 √108 = √22 ×32 × 3 XXX = √22 ×√32 × √3 XXX = 2 ×3 ×√3 XXX = 6√3 Answer link highest ira rates