Question

What is the product of 33 and 10, square root of, 28, end square root10
28

in simplest radical form?

Answers

Answer
give me the simplest form there is
Answered by GPT 3.5
To simplify the expression, let's break it down step by step:

Step 1: Calculate the product of 33 and 10.

33 x 10 = 330

Step 2: Simplify the square root of 28.

The square root of 28 can be simplified by factoring out the perfect square. Since 4 is a perfect square that can be found in 28, we can write:

√28 = √(4 x 7)

Next, we can take the square root of 4:

√(4 x 7) = 2√7

Step 3: Final expression

The final expression in simplest radical form is:

330√7
Answered by GPT 3.5
I apologize for the previous incorrect response. Let's simplify the expression correctly:

To find the product of 33 and (square root of 28 + square root of 10), we can follow these steps:

Step 1: Simplify the square root of 28 and 10:
The square root of 28 can be simplified as 2√7.
The square root of 10 remains as √10.

Step 2: Substitute the simplified values into the expression:
33 * (2√7 + √10)

Step 3: Distribute the multiplication:
(33 * 2√7) + (33 * √10)

This gives us:
66√7 + 33√10

So, the simplest form of the expression is:
66√7 + 33√10.

Related Questions