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QuestionWhat does index of 4 mean?DonaganTop AnswererAn index of 4 means the fourth root.

QuestionCan I multiply a number inside the radical with a number outside the radical?Community AnswerOnly if you are reversing the simplification process. For example, 3 with a radical of 8. 3 squared is 9, so you multiply 9 under the radical with the eight for the original. It would be 72 under the radical.

QuestionCan you multiply radicals with the same bases but indexes?OrangejewsCommunity AnswerYes, though it's best to convert to exponential form first. To multiple squareroot2 by cuberoot2, write it as 2^(1/2)*2^(1/3) . Then the rules of exponents make the next step easy as adding fractions: = 2^((1/2)+(1/3)) = 2^(5/6).

QuestionHow would I use the root of numbers that aren't a perfect square?DonaganTop AnswererSee the wikiHow article Simplify a Square Root.

QuestionWhat's the difference between an arithmetic sequence and geometric sequence?DonaganTop AnswererIn an arithmetic sequence each number (after the first) is derived by adding a particular number to the previous number in the sequence, as in 2, 4, 6, 8, 10... In a geometric sequence each number (after the first) is derived by multiplying the previous number by a common multiplier, as in 2, 6, 18, 54...

QuestionHow do you multiply a coefficient and a radical by a radical?Community AnswerMultipy the radicals together, then place the coeffcient in front of the result. For example, to multiply 2âˆš2 and âˆš3, first multiply âˆš2 and âˆš3 to get âˆš6, then put the coeffcient of 2 in front to get 2âˆš6.

QuestionHow would I multiply (5 + 4âˆš3)(5  4âˆš3)?DonaganTop Answerer(5 + 4âˆš3)(5  4âˆš3) = [25  20âˆš3 + 20âˆš3  (16)(3)] = 25  48 = 23.

QuestionCan I multiply a negative radical with a positive radical?DonaganTop AnswererYes, if the indices are the same, and if the negative sign is outside the radical sign.

QuestionCan you multiply the coefficient and the radicand?DonaganTop AnswererNo, you multiply the coefficient by the root of the radicand.

QuestionShouldn't the fractions in method 3, step 1 be 6/3 and 6/2, not 3/6 and 2/6?Community AnswerThe text for that step is OK for finding LCM, but the picture is wrong and needs to be remade. It is never correct to write 3/6 = 2.

QuestionHow do I multiply radicals with different indexes?DonaganTop AnswererSee Method 3 in the above article.

QuestionIs the coefficient different from the index?DonaganTop AnswererYes. The coefficient is a number appearing in front of the radical sign and being multiplied by the radical. The index is the small number shown within the front angle of the radical sign representing the root being applied to the radicand.

QuestionHow do you know what power to raise both sides of an equation to if the indices of the radicals are different?Community AnswerTry the least common multiple of the indices. If you have something like square root of x = 5th root of y, then raise both to the 10th power to get rid of all the radicals and reduce to x^5 = y^2.

QuestionHow do I find the root of a number?DonaganTop Answerer

QuestionWhat is a radical number?DonaganTop AnswererIt is a specific root of some other number. It could be a square root, a cube root, a fourth root or some other root. Examples are the square root of 6, the cube root of 120, the fourth root of 45.5 and the fifth root of 75,699. Those are all radicals when expressed with a root symbol (âˆš). (That is, âˆš6 is a radical number, but the equivalent 2.449 is not.)

QuestionHow do I multiply square root radicals?DonaganTop AnswererMultiply the radicands together, and then find the square root of the product. (A radicand is the number inside the radical sign.)

QuestionHow do you divide radicals?DonaganTop AnswererThat question is too involved to be answered in this Q&A format. Go to OpenAlgebra.com/2012/11/multiplyinganddividingradical.html.
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