What is the Square Root of 2025?
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What is the Square Root of 2025?
![Square Root of 2025 - How to Find Square Root of 2025? [Solved]](https://wmznlejcfq.s3-ap-southeast-1.amazonaws.com/media/square-roots/square-root-of-2025-by-long-division-method.png)
The square root of a number is the value that, when multiplied by itself, gives the original number. In other words, if a number is x, then its square root is the value y such that y * y = x.
To find the square root of 2025, we can use a variety of methods. One common method is to use a calculator. Simply enter 2025 into the calculator and press the square root button. The calculator will display the answer, which is 45.
Another method for finding the square root of 2025 is to use the prime factorization method. This method involves breaking down the number into its prime factors, and then using the properties of prime numbers to find the square root.
To prime factorize 2025, we can start by dividing it by the smallest prime number, which is 2. 2025 is divisible by 2, so we divide it by 2 and get 1012.5. We can then divide 1012.5 by 2 again, and get 506.25. We can continue dividing by 2 until we reach a number that is not divisible by 2. In this case, the number we reach is 125.
Once we have prime factorized 2025, we can use the properties of prime numbers to find its square root. The square root of a number is equal to the product of the square roots of its prime factors. In this case, the prime factors of 2025 are 2 and 125. The square root of 2 is 2, and the square root of 125 is 5. Therefore, the square root of 2025 is 2 * 5 = 10.
There is also a third method for finding the square root of 2025, which is to use the long division method. This method is similar to the long division method for dividing two numbers, except that instead of dividing the dividend by the divisor, we divide the dividend by the square root of the divisor.
To use the long division method to find the square root of 2025, we start by writing 2025 in the dividend box, and then we write the square root of 2025 in the divisor box. We then divide 2025 by the square root of 2025, which is 45. This gives us a quotient of 45 and a remainder of 0.
Since the remainder is 0, we know that we have found the exact square root of 2025. Therefore, the square root of 2025 is 45.
No matter which method you use, you should get the same answer: the square root of 2025 is 45.
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