The square root of 196 is 14, no matter what method you use.
If you work a math problem two different ways and get different answers, then
at least one of them is wrong, and there's a good chance that both of them are.
512 = 29 512 x 512 = 262144 = 218
The square root of 729 is 27 and as a product of its prime factors in exponents it is 36
It is 71 because as a product of its prime factors 71*71 = 5041
The Newton - Raphson method of successive approximations is easily implemented on a computer. You make a guess, test it by squaring it and compare it with the original target. JCF
1. Factoring out a common monomial 2. Factoring out the differnece of two perfect square numbers 3. Factoring out a common binomial
The prime factorization of 36 is 2 x 2 x 3 x 3. The prime factorization of the square root of 36 is 2 x 3, or 6.
Given the prime factorization of an integer how can you determine if our integer is a perfect square?
find the prime factorization, divide all exponents by 2, then mulitply out To expand on this, you can visit: http://www.homeschoolmath.net/teaching/square-root-algorithm.php This method is very helpful and easy to understand.
The square root of 512 is neither an integer, nor even a rational number, so it has no prime factorization.
The prime factorization of 10,000 is 24 x 54 The square root is 22 x 52 or 100.
The square root of 11,025 is 105. The prime factorization of 105 is: 3 x 5 x 7
Multiplication Division Square Roots Addition Subtraction