Question

What is in simplified form? 3 3 can't be simplified. 5

Answer 1

The square root of 30, approximately 5.477225575051661, cannot be simplified further since 30 has no perfect square factors. The answer is d. √30 cannot be simplified.

Let's go through the step-by-step calculation to simplify
`\(√(30)\)`:

1. Prime Factorization of 30:

Find the prime factorization of 30, which is
`\(2 * 3 * 5\).`

2. Express
`\(√(30)\)` in Terms of Prime Factors:

`\[√(30) = √(2 * 3 * 5)\]`

3. Group Perfect Squares:

Group the perfect squares within the factors:

`\[√(30) = √((2 * 3) * 5) = √(6 * 5)\]`

4. Factorize Non-Perfect Square:

`\[√(30) = √(6) * √(5)\]`

5. Final Evaluation:

While
`\(√(5)\)` is not a perfect square, the expression
`\(√(30)\)` cannot be simplified further. The numerical approximation is approximately 5.477225575051661.

Therefore, step by step, we confirm that
`\(√(30)\)` cannot be simplified, and the answer is d.
`\(√(30)\)` cannot be simplified.

Que. What is
`√(30)` in simplified form?
a.
`5√(6)`
b.
`3√(3)`
c.
`3√(10)`
d.
`√(30)` can't be simplified