The prime factors of 2025 are 3 and 5.
Square root of 2025 by prime factorization.
Take one factor from each pair.
Square root by prime factorization method example 1 find the square root.
The n th prime number is denoted as prime n so prime 1 2 prime 2 3 prime 3 5 and so on.
Since the number is a perfect square you will be able to make an exact number of pairs of prime factors.
Factor tree or prime decomposition for 2025 as 2025 is a composite number we can draw its factor tree.
Thew following steps will be useful to find square root of a number by prime factorization.
Ambitious by prime factorisation of 2025 we obtained the factors 3 3 3 3 5 5 so by placing bar on two terms on every number we get 3 3 5 45.
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The radicand no longer has any square factors.
The prime factorization of 2025 3 4 5 2.
Advertisement the simplified root of 2025 is number 45 all radicals are now simplified.
0 00 how to fin.
Https bit ly exponentsandpowersg8 in this video we will learn.
The product obtained in step v is the required square root.
Ii inside the square root for every two same numbers multiplied one number can be taken out of the square root.
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Find the product of factors obtained in step iv.
So the square root of 2025 is 45 45.