Find the square root of 625: √625 (1 point)
The square root of 625 is 25.
To find the square root of 625, follow these steps:
Step 1: Prime Factorization:
Express 625 as a product of its prime factors:
625 = 5 × 5 × 5 × 5
Step 2: Take out pairs of equal numbers:
Take out the pairs of 5s from the prime factorization:
625 = (5 × 5) × (5 × 5) = 25 × 25
Step 3: Multiply the pairs:
Multiply the pairs of equal numbers:
625 = 25 × 25 = 625
Step 4: Write the simplified expression:
The square root of 625 is: √625 = 25
Therefore, the square root of 625 is 25.
To find the square root of 625, you can follow these steps:
1. Start with the number 625.
2. Take a guess at the square root of 625. For example, you may guess 25 as the square root of 625.
3. Divide 625 by your guess to see how close you are to the actual square root. In this case, 625 divided by 25 equals 25.
4. If the result of the division is equal to your guess, you have found the square root of 625. So, in this case, √625 is indeed equal to 25.
Therefore, the square root of 625 is 25.