Simplify √300
3 answers
√300 = √(100 * 3) = √100 * √3 = 10√3
explain how?
Apologies for the confusion. Let's go through the simplification process again step by step:
We are trying to simplify the square root of 300: √300
First, we find the prime factorization of 300:
300 = 2 × 2 × 3 × 5 × 5
Next, we group the prime factors into pairs of two, with any remaining prime factors outside the square root:
300 = (2 × 2) × (3 × 5 × 5)
Now, we can simplify the terms within the square root by taking the square root of the perfect square:
√300 = √(4 × 75)
Taking the square root of 4 gives us 2:
√300 = 2√75
Now, let's focus on simplifying the remaining term √75.
To do this, we find the prime factorization of 75:
75 = 3 × 5 × 5
Since there are no remaining factors that can be paired up, we cannot simplify it any further.
Therefore, the simplified form of √300 is 2√75.
We are trying to simplify the square root of 300: √300
First, we find the prime factorization of 300:
300 = 2 × 2 × 3 × 5 × 5
Next, we group the prime factors into pairs of two, with any remaining prime factors outside the square root:
300 = (2 × 2) × (3 × 5 × 5)
Now, we can simplify the terms within the square root by taking the square root of the perfect square:
√300 = √(4 × 75)
Taking the square root of 4 gives us 2:
√300 = 2√75
Now, let's focus on simplifying the remaining term √75.
To do this, we find the prime factorization of 75:
75 = 3 × 5 × 5
Since there are no remaining factors that can be paired up, we cannot simplify it any further.
Therefore, the simplified form of √300 is 2√75.