Please help someone!!!!

a number that can be expressed as the product of 3 equal factors?

a number that can be expressed as the product of 2 equal factors

product of 1 and a radical

product of a rational number and a radical

a number that can be expressed as the product of 3 equal factors? ---- perfect cube

e.g. 27 = 3x3x3 , so 27 is a perfect cube

a number that can be expressed as the product of 2 equal factors ----> perfect square
e.g. 16 = ? x ?

product of 1 and a radical ----> a pure radical
e.g. √15

product of a rational number and a radical --- a mixed radical
e.g. 3√7

OMG THANK YOU !!!!! :):):):):)

Sure! I can help you with that. Let's go step by step.

A number that can be expressed as the product of 3 equal factors:
- Start by finding a number that can be evenly divided by the same factor three times.
- One example is 8, which can be expressed as 2 x 2 x 2.

A number that can be expressed as the product of 2 equal factors:
- Look for a number that can be divided evenly by the same factor two times.
- An example of such a number is 9, which can be expressed as 3 x 3.

Product of 1 and a radical:
- Multiply any number by the square root of a non-perfect square.
- For example, if we choose the number 2, the product would be 2 x √2.

Product of a rational number and a radical:
- Multiply any rational number (a number that can be expressed as a fraction) by the square root of a number.
- Taking the number 3/4 and multiplying it by the square root of 5 would result in (3/4) x √5.

Sure, I'd be happy to help you understand!

To find a number that can be expressed as the product of 3 equal factors, you need to find a number that has three identical factors. One way to approach this is to think about perfect cubes. For example, if you take the cube root of a perfect cube, you get a number that can be expressed as the product of 3 equal factors. For instance, the number 8 is a perfect cube because 2 * 2 * 2 = 8, and the cube root of 8 is 2. Therefore, 8 can be expressed as 2 * 2 * 2, which are three equal factors.

Now let's move on to a number that can be expressed as the product of 2 equal factors. To find such a number, you need to look for perfect squares. If you take the square root of a perfect square, you get a number that can be expressed as the product of 2 equal factors. For example, the number 9 is a perfect square because 3 * 3 = 9, and the square root of 9 is 3. Therefore, 9 can be expressed as 3 * 3, which are two equal factors.

Next, let's consider the product of 1 and a radical. A radical represents the square root (or sometimes a higher root) of a number. So, to find the product of 1 and a radical, you can simply multiply 1 by the value of the radical. For instance, if the radical is √2, then the product of 1 and √2 would be 1 * √2 = √2.

Finally, we'll tackle the product of a rational number and a radical. A rational number is any number that can be written as a fraction, where the numerator and denominator are both integers. To find the product of a rational number and a radical, you can multiply the rational number by the value of the radical. For example, if the rational number is 2/3 and the radical is √5, then the product would be (2/3) * √5 = (2√5) / 3.

I hope that helps! Let me know if you have any further questions.