Find the square root of 625 √625
The square root of 625 is 25.
To find the square root of 625 (√625), you can use a calculator or use a method called prime factorization.
Using Prime Factorization method:
Step 1: Write 625 as a product of prime factors.
625 = 5 × 5 × 5 × 5 = 5^4
Step 2: Each pair of identical prime factors can be represented by one of that factor outside the square root and one inside.
√625 = √(5^4)
Step 3: Take out the pairs of 5 from the square root.
√625 = 5 × √(5^2)
Step 4: Simplify the square root inside the square root.
√625 = 5 × 5
Step 5: Multiply the factors outside the square root.
√625 = 25
So, the square root of 625 (√625) is 25.
To find the square root of 625 (√625), you can use the following steps:
Step 1: Start with any number, for example, 25, and divide 625 by that number: 625 ÷ 25 = 25
Step 2: Take the average of the result of step 1 and the divisor: (25 + 25)/2 = 25
Step 3: Repeat steps 1 and 2 until you get the desired level of accuracy. Since the square root of 625 is a perfect square, we only need to perform one more iteration.
Step 4: Divide 625 by the updated number in step 2: 625 ÷ 25 = 25
The square root of 625 is 25.