**The square root of any prime number is irrational**

8. 8100 9. 9216 10. 11025 11. 15876 12. 17424 13. Find the smallest number by which 1008 must be multiplied to get a perfect square. Also, find the square root of the perfect square so obtained.... How do you get a square root by prime factorization - 7379900 1. Log in Join now 1. Log in Join now Secondary School. Math. 5 points How do you get a square root by prime factorization Ask for details ; Follow Report by Gayathricute5032 2 minutes ago Log in to add a comment

**Using square root to help determine if a number is prime**

5(square root of 6) times two-thirds(square root of 15)= 3 one-third (square root of 90)= (This math my number is a multiple of 5, but doesnt end in 5, the prime factorization of my number is a string three numbers, two of the numbers in the prime factorization are the same, my number is bigger than the seventh square number... Two ways: Find the square root first. If it's a whole number, find the prime factorization like you would for any other number. Or, find the prime factorization of the origina … l number.

**how to find square root using prime factorization Squares**

The prime factorization of 2116 are 2x2x23x23. (2^2 * 23^2). Hence 46 is the square root of 2116. Since, 46 is an integer, 2116 is a perfect square.... This presentation will look at an older, more computational method, of calculating square roots. Students will have to recall the fact that prime numbers are numbers with only two factors - 1 and itself.

**find the squareroot of 9216 by prime factorization**

If a number n is not a prime, it can be factored into two factors a and b: n = a*b If both a and b were greater than the square root of n, a*b would be greater than n.... 12/11/2018 · To simplify a square root, start by dividing the square root by the smallest prime number possible. Then, rewrite the square root as a multiplication problem under the square root sign. Keep factoring the numbers until you have 2 identical factors. Then, finish simplifying by pulling out an integer. If there aren't 2 identical factors…

## How To Get The Square Root With Prime Factorisations

### Finding the square root modulo n when the factors of n

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## How To Get The Square Root With Prime Factorisations

### In order to find the square root of a perfect square by prime factorization, follow the following steps. Step I– Obtain the given number. Step II– Resolve the given number into prime factors by …

- With small numbers, we can quickly figure out the square root. With larger numbers, we use factoring to break it up into smaller numbers until we get our answer.
- Step III: Make pairs of prime factors such that both the factors in each pair are equal. Since the number is a perfect square, you will be able to make an exact number of pairs of prime factors. Since the number is a perfect square, you will be able to make an exact number of pairs of prime factors.
- 1/03/2011 · If you take the square root of this you get 2 * sqrt(3*5*7) = 2*sqrt(105). 105 is not a perfect square, so I'm not sure what steps you are supposed to use next. You can plug it into a calculator, or you could estimate based on the fact that 105 is about 100, so the square root is about 10.
- For example, if the number is 1000, I know the cube root is 10, but how do I get there using prime factorization. The prime factorization of 1000 is 2 * 2 * 2 * 5 * 5 * 5. Since it's six prime numbers, I can't get 3 equal groups of the same number like I could with 512.

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