To simplify a square root start by dividing the square root by the smallest prime number possible for example if youre trying to find the square root of 98 the smallest prime number possible is 2 if you divide 98 by 2 you get 49 then rewrite the square root as a multiplication problem under the square root sign. Simplifying square roots to simplify a square root make the number inside the square root as small as possible but still a whole number example 12 is simpler as 23 get your calculator and check if you want they are both the same value here is the rule when a and b are not negative. Simplifying square root terms to simplify a term containing a square root we take out anything that is a perfect square that is we factor inside the radical symbol and then we take out in front of that symbol anything that has two copies of the same factor. Worksheet simplifying radicals the free calculator will solve any square root even negative ones and you can mess around with decimals too the square root calculator below will reduce any square root to its simplest radical form as well as provide a brute force rounded approximation of any real or imaginary square root. This allowed us to take the square root of the perfect square which results in a whole number and then we must leave the square root of 2 as the square root of 2 because it cannot be simplified any further lets take a look at another example simplifying square roots example 2
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