Question

Simplify √300

Answer 1

explain how?

Answer 2

√300 = √(100 * 3) = √100 * √3 = 10√3

Answer 3

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.