simplfy square root (300) is it 10 square root(3) if so why

Answer 1

Yes, your simplification is correct: √300 can be simplified to 10√3.
To understand why, we need to find the largest perfect square that can be factored out of 300. In this case, it is 100 (since 10² = 100). Therefore, we can write 300 as 100 * 3. Taking the square root, we then get: √300 = √(100 * 3). By the properties of square roots, this can be further simplified as the product of the square root of 100 (which is 10) and the square root of 3, resulting in 10√3.