3 Ways To Multiply Radicals - WikiHow

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  • If a "coefficient" is separated from the radical sign by a plus or minus sign, it's not a coefficient at all--it's a separate term and must be handled separately from the radical. If a radical and another term are both enclosed in the same set of parentheses--for example, (2 + (square root)5), you must handle both 2 and (square root)5 separately when performing operations inside the parentheses, but when performing operations outside the parentheses you must handle (2 + (square root)5) as a single whole. Thanks Helpful 6 Not Helpful 5
  • Radical signs are another way of expressing fractional exponents. In other words, the square root of any number is the same as that number raised to the 1/2 power, the cube root of any number is the same as that number raised to the 1/3 power, and so on. Thanks Helpful 4 Not Helpful 3
  • A "coefficient" is the number, if any, placed directly in front of a radical sign. So for example, in the expression 2(square root)5, 5 is beneath the radical sign and the number 2, outside the radical, is the coefficient. When a radical and a coefficient are placed together, it's understood to mean the same thing as multiplying the radical by the coefficient, or to continue the example, 2 * (square root)5. Thanks Helpful 2 Not Helpful 3
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