# square root of 27 to the power of 3

Well, we can start by writing the 27 as a power of 3: But what about the square root? What is cube root? If X is the number then Now 27 = 3*3*3 thus we can say that 3 is the Cube Root of 27 Any number when raised to the power 1/n and then again raised to power n … Free functions inverse calculator - find functions inverse step-by-step The square of a number is that number multiplied by itself i.e Similarly Cube of a number is that number multiplied by itself 3 times i.e. 3 . Simplified Square Root for √27 is 3√3; Step by step simplification process to get square roots radical form: First we will find all factors under the square root: 27 has the square factor of 9. Some common roots include the square root, where n = 2, and the cubed root, where n = 3. Now extract and take out the square root √9 * √3. Then it will attempt to solve the equation by using one or more of the following: addition, subtraction, division, taking the square root of each side, factoring, and completing the square. Perfect Cube Roots Table 1-100. square both sides (9)(27) = 3^2n. 3^(3/2) is the same as square root of 3 cubed, which is 27. so square root of 27. Let's check this with √9*3=√27. For example, the principal square root of 9 is sqrt(9) = +3, while the other square root of 9 is -sqrt(9) = -3. Apply the same base theorem (when both sides have the same base, you can equate them with their exponents) 5 = 2n. When you enter an equation into the calculator, the calculator will begin by expanding (simplifying) the problem. Definition of cube root. 3 times the square root of 27 is equal to 3 to the power of 'n', what is 'n' 0 . ... how does 3 squared times 3 to the power of 1/2 =3 5/2. If you don't know the answer yet, then try to express as a power of 3. IOW, . Square root of 27. Square roots are powers of 1/2. n = 5/2. 3sqrt(27) = 9sqrt(3) If a, b >= 0 then sqrt(ab)=sqrt(a)sqrt(b) So 3sqrt(27) = 3sqrt(3^2*3)=3sqrt(3^2)sqrt(3) = 3*3sqrt(3) = 9sqrt(3) In equation format: n √ a = b b n = a. Estimating a Root. In mathematics, the general root, or the n th root of a number a is another number b that when multiplied by itself n times, equals a. Variables For example, 3 is the cube root of 27 because 3 3 = 3•3•3 = 27, -3 is cube root of -27 because (-3) 3 = (-3)•(-3)•(-3) = -27. 8886 . So 3^(3/2) = sqrt(3^3) = sqrt(27) Denominator of 2 = sqrt, 3 = cube root, 4 = fourth root, etc. 3 x square root of 27 = 3^n. As you can see the radicals are not in their simplest form. Perfect Square Calculator. When you have a number to the power of a fraction, raise it to the power of the numerator and take the root indicated by the denominator. express both sides in exponential form. A cube root of a number a is a number x such that x 3 = a, in other words, a number x whose cube is a. 3^5 = 3^2n. In common usage, unless otherwise specified, "the" square root is generally taken to mean the principal square root."[1].