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In  m is the index or order Ö is the radical or square root sign a is the radicand a*a = a2 and (-a)*(-a) = a2. Here 'a' is called the square root of a2. Thus for a &-a are two square roots of a2. The square root is denoted by the symbol ' Ö '. Examples: Solution: 25 = 5*5. The square root of 25 is 5.
Solution: PRIME FACTORIZATION of 144 = 2 x 3 x 2 x 2 x 3 x 2 Ö144 = Ö2 x 2 x 3 = 12 The square root of 144 is 12. Solution: Here 841 is not divisible by 2,3,4,5,6,7,8,9, or 10 Therefore use the GUESS METHOD to find the square root. The last digit is 1 Therefore the last digits of the two numbers multiplied is either 1 or 9 since 1x1 = 1 and 9x9=81 Therefore try 11 x 11 =121 21x21 = 441 31 x 31 = 961 which is more than the number 841 19 x 19 = 361 29 x 29 = 841 Therefore Ö841 = 29 Directions: Find the square root of the following and show your work. Also write at least ten examples of your own. |