Question

Как решаются такие примеры типа 9√3;4√15 и тд с объяснением. Пожалуйста!

Answer 1

Надо вводить все число род корень
9√3=√81*3=√243
4√15=√16*15=240

Answer 2

Solving Expressions with Radical Expressions

When solving expressions involving radical expressions like 9√3 and 4√15, it's important to understand how to simplify and manipulate these expressions.

To simplify expressions with radical terms, you can follow these steps:

1. Factor the Radicand: Factor the number inside the radical sign into its prime factors. 2. Identify Perfect Powers: Look for perfect powers of the index of the radical. For example, if you have a cube root, look for perfect cubes inside the radical. 3. Simplify: Rewrite the radical expression using the perfect powers identified in the previous step.

Let's apply these steps to the given examples.

For 9√3: 1. Factor the radicand: 3 is a prime number, so it cannot be factored further. 2. Identify perfect powers: Since the index is 9, we look for perfect 9th powers inside the radical, but there are none. 3. Therefore, the expression 9√3 cannot be simplified further.

For 4√15: 1. Factor the radicand: 15 can be factored into 3 * 5. 2. Identify perfect powers: Since the index is 4, we look for perfect 4th powers inside the radical, but there are none. 3. Therefore, the expression 4√15 cannot be simplified further.

So, both 9√3 and 4√15 cannot be simplified further and are in their simplest radical form.