1. Find the factors. Factors are the numbers you multiply to find the total under the square root symbol. For √100, the factors would be √(10 x 10). The factors of √225 would be √(25 x 9).
2. Separate the factors into their own square roots. Because both factors of √100 are 10, the square root of 100 is 10. For √225, you would separate the factors under their own square root signs, so the formula would be √25 x √9.
3. Solve for the individual squares. Next, you would find the squares of each of the individual factors. √25 = 5 and √9 = 3. The remaining formula will look like 5 x 3.
4. Finish solving the equation. Now that you know what the simplified squares are, you will find that 5 x 3 = 15. So, √225 = 15.
Answers & Comments
Answer:
1. 1
2. 1.414
3. 2
4. 6
5. 4
Step by step explanation