Question

How to find the square root 1030.41 by factorization method

Answer 1

Answer: To find the square root of a perfect square by using the prime factorization method when a given number is a perfect square:

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.

Step-by-step explanation:

Answer 2

Step-by-step explanation:

using the Prime Factorization ...

Square Root of a Perfect Square by using the Prime Factorization Method. 484 = 2 × 2 × 11 × 11. √484 = √(2 × 2 × 11 × 11) 324 = 2 × 2 × 3 × 3 × 3 × 3. √324 = √(2 × 2 × 3 × 3 × 3 × 3) 1764 = 2 x 2 x 3 x 3 x 7 x 7. 4356 = 2 x 2 x 3 x 3 x 11 x 11. 11025 = 5 x 5 x 3 x 3 x 7 x 7. = 5 × 5 × 3 × 3 × 3 × 3.