Since the number is a perfect square you will be able to make an exact number of pairs of prime factors.
Square root of 2925 by prime factorization.
Square root by prime factorization method example 1 find the square root.
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First we will find all factors under the square root.
Take one factor from each pair.
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2925 has the square factor of 225.
Let s check this width 225 13 2925.
Step by step simplification process to get square roots radical form.
Taking one number from each pair and multiplying we get.
The n th prime number is denoted as prime n so prime 1 2 prime 2 3 prime 3 5 and so on.
Equcation for number 2925 factorisation is 3 3 5 3 13 it is determined that the prime factors of number 2925 is 3 5 3 i hope this helps you.
Determine the square root of 196.
Ii inside the square root for every two same numbers multiplied one number can be taken out of the square root.
Simplified square root for 2925 is 15 13.
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1962 h714 determine the square root of 84.
Factorization in a prime factors tree for the first 5000 prime numbers this calculator indicates the index of the prime number.
Iii combine the like square root terms using mathematical operations.
Notice 196 2 2 7 7 since there is an even number of prime factors and they can be grouped in identical pairs we know that 196 has a square root that is a whole number.
Https bit ly exponentsandpowersg8 in this video we will learn.
Find the product of factors obtained in step iv.
As you can see the radicals are not in their simplest form.
The product obtained in step v is the required square root.