Finding the square root of a number is a mathematical operation that involves determining the value of a number that, when multiplied by itself, equals the original number. To find the square root of 625, there are a few methods you can use, including using a calculator or using manual mathematical operations.
How to Find Square Root of 625?
The square root of 625 is a number that, when multiplied by itself, equals 625. To find the square root of 625, there are a few methods you can use:- Using a calculator: Simply enter the number 625 into a calculator, then press the square root button to get the answer, which is 25.
- Using manual mathematical operations: You can also find the square root of 625 by using the long division method, which involves dividing the number into smaller parts and calculating the square root of each part. For example, 625 can be divided into 600 and 25, and the square root of each part can be calculated as 24.49 and 5, respectively. The final answer would be 24.49 + 5 = 29.49.
- Using estimation: If you are looking for a rough estimate of the square root of 625, you can round the number to the nearest perfect square, which is 576. The square root of 576 is 24, which is a close approximation to the square root of 625.
How is 625 a Perfect Square?
A perfect square is a number that is the product of an integer multiplied by itself. In the case of 625, it is a perfect square because it is equal to 25 multiplied by 25, which can be expressed as 25². Therefore, 625 is a perfect square because it is the square of an integer.What is the Square root of 625 Without a Calculator?
To find the square root of 625 without a calculator, you can use a process called long division. Here are the steps:- Start by dividing 625 by 4, which gives you 156 with a remainder of 1.
- Bring down the next two digits (25) to the right of the remainder.
- Double the number on the left (4) and write it down with a blank on the right: 4_.
- Find a number to fill in the blank that, when multiplied by itself and placed under the 25, gives a product less than or equal to 125. That number is 5 (5 x 5 = 25).
- Write 5 on top of the blank and subtract 25 from 125 to get 100.
- Bring down the next two digits (00) to the right of the remainder.
- Double the number on the left (45) and write it down with a blank on the right: 45_.
- Find a number to fill in the blank that, when multiplied by itself and placed under the 100, gives a product less than or equal to 100. That number is 2 (2 x 2 = 4).
- Write 2 on top of the blank and subtract 4 from 100 to get 96.
- Bring down the next two digits (00) to the right of the remainder.
- Double the number on the left (452) and write it down with a blank on the right: 452_.
- Find a number to fill in the blank that, when multiplied by itself and placed under the 96, gives a product less than or equal to 964. That number is 9 (9 x 9 = 81).
- Write 9 on top of the blank and subtract 81 from 964 to get 883.
- Bring down the next two digits (00) to the right of the remainder.
- Double the number on the left (4529) and write it down with a blank on the right: 4529_.
- Find a number to fill in the blank that, when multiplied by itself and placed under the 883, gives a product less than or equal to 8831. That number is 9 (9 x 9 = 81).
- Write 9 on top of the blank and subtract 81 from 8831 to get 8740.
- Bring down the next two digits (00) to the right of the remainder.
- Double the number on the left (45299) and write it down with a blank on the right: 45299_.
- Find a number to fill in the blank that, when multiplied by itself and placed under the 8740, gives a product less than or equal to 87400. That number is 9 (9 x 9 = 81).
- Write 9 on top of the blank and subtract 81 from 87400 to get 87319.
- Bring down the next two digits (00) to the right of the remainder.
- Double the number on the left (452999) and write it down with a blank on the right: 452999_.
- Find a number to fill in the blank that, when multiplied by itself and placed under the 87319, gives a product less than or equal to 873190. That number is 9 (9 x 9 = 81).
- Write 9 on top of the blank and subtract 81 from 873190 to get 873109.