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Square Roots

Square Roots. Square Roots. The Square Root of a number is the number you can multiply by itself to give you that number. Thus, = 2 , because 2 2 =4 = 3 , because 3 2 =9. Try: = 8, because 8 2 =64 = 12 , because 12 2 =144

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Square Roots

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  1. Square Roots

  2. Square Roots The Square Root of a number is the number you can multiply by itself to give you that number. Thus, = 2,because22=4 = 3,because32=9 Try: = 8, because 82=64 = 12,because122=144 =1, because 12 = 1 =0, because 02 = 0

  3. Square Root - Prime Factorization Method To find the square root using the prime factorization method Step I:  Resolve the given number into prime factors. Step II:  Make pairs of similar factors. Step III:  Take the product of prime factors, choosing one factor out of every pair.

  4. 1. Find the square root of 484 by prime factorization method. Solution: Resolving 484 as the product of primes, we get 484 = 2 × 2 × 11 × 11  √484 = √(2 × 2 × 11 × 11)  = 2 × 11 Therefore, √484 = 22

  5. Evaluate √4356Solution: By using prime factorization, we get  4356 = 2 x 2 x 3 x 3 x 11 x 11 √4356 = √(2 x 2 x 3 x 3 x 11 x 11) = 2 × 3 × 11 Therefore, √4356 = 66.

  6. Evaluate √11025 Solution: By using prime factorization, we get 11025 = 5 x 5 x 3 x 3 x 7 x 7.  √11025 = √(5 x 5 x 3 x 3 x 7 x 7) = 5 × 3 × 7 Therefore, √11025 = 105

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