Knowee
Questions
Features
Study Tools

Express in simplest radical form.x, squared, square root of, x, to the power 9 , end square rootx 2 x 9 ​

Question

Express in simplest radical form.x, squared, square root of, x, to the power 9 , end square rootx 2 x 9 ​

🧐 Not the exact question you are looking for?Go ask a question

Solution 1

The expression you provided seems to be a bit unclear. However, if you're asking to simplify the square root of x to the power of 9, here's how you can do it:

Step 1: Write down the expression √(x^9)

Step 2: Break down the exponent inside the square root into a multiple of 2 (since we're dealing with a square root) and keep the remainder (if any). In this case, 9 = 2*4 + 1.

So, we can write x^9 as (x^8) * (x^1).

Step 3: Simplify the square root using the rule √(a*b) = √a * √b.

So, √(x^9) = √(x^8) * √(x^1).

Step 4: Simplify further. The square root of x^8 is x^4 (since (x^4)^2 = x^8). The square root of x^1 is just √x.

So, √(x^9) = x^4 * √x.

So, the simplest radical form of √(x^9) is x^4√x.

This problem has been solved

Solution 2

The expression you provided seems to be a bit unclear, but if you're asking to simplify the square root of x to the power of 9, here's how you can do it:

Step 1: Write down the expression √(x^9)

Step 2: Break down the exponent inside the square root into a multiple of 2 (since we're dealing with a square root) and keep the remainder. In this case, 9 = 2*4 + 1. So, we can write x^9 as (x^8 * x^1)

Step 3: Now, take the square root: √(x^8 * x^1) = √(x^8) * √(x^1)

Step 4: Simplify the square roots. The square root of x^8 is x^4 (since 42 = 8) and the square root of x^1 is just x (since 12 = 2). So, √(x^8) * √(x^1) = x^4 * x

Step 5: Combine the results to get the final answer: x^4 * x = x^(4+1) = x^5

So, the square root of x to the power of 9 in simplest radical form is x^5.

This problem has been solved

Similar Questions

Express in simplest radical form.square root of, 7, x, to the power 9 , end square root7x 9 ​

Express in simplest radical form.square root of, 108, end square root108​

Express in simplest radical form.square root of, 3, x, end square root3x​

Express in simplest radical form.start fraction, square root of, 2646, end square root, divided by, square root of, 9, end square root, end fraction9​ 2646​ ​

Express in simplest radical form.square root of, 4, x, squared, end square root4x 2 ​

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.