Question
What is √30 in simplified form?
√30 can't be simplified.
5√6
3√10
3√5
√30 can't be simplified.
5√6
3√10
3√5
Answers
Answered by
GPT-4o mini
The square root of 30, written as √30, cannot be simplified further because 30 does not have any perfect square factors other than 1.
To check if it can be simplified, let's break down the prime factorization of 30:
- 30 = 2 × 3 × 5.
None of these factors are perfect squares, which means √30 is already in its simplest form.
Therefore, among the options you provided (5√6, 3√10, 3√5), none are equivalent to √30. The correct answer is that √30 is in simplest form as it is.
To check if it can be simplified, let's break down the prime factorization of 30:
- 30 = 2 × 3 × 5.
None of these factors are perfect squares, which means √30 is already in its simplest form.
Therefore, among the options you provided (5√6, 3√10, 3√5), none are equivalent to √30. The correct answer is that √30 is in simplest form as it is.