Question

9 √33 divided by 27 √11

Answer 1

[AI-generated answer — Bot GPT 3.5]

To simplify the expression (9 √33) divided by (27 √11), we can begin by simplifying each term in the numerator and denominator.

9 √33 can be simplified as follows:
9 √33 = √(9^2) * √33 = 3 * √33

27 √11 can be simplified as follows:
27 √11 = √(27^2) * √11 = 3 * 3√11 = 9√11

So, we now have:

(3 * √33) / (9√11)

Next, we can divide the numerator and denominator by 3, which gives us:

(√33) / (3√11)

Since the numerator and denominator have no common factors other than 1, this expression cannot be simplified any further.

Therefore, the simplified form of (9 √33) divided by (27 √11) is (√33) / (3√11).

Answer 2

[AI-generated answer — Step-by-Step Bot]

To divide 9√33 by 27√11, you can simplify the expression by dividing the numbers outside the square root and dividing the numbers inside the square root separately.

Step 1: Divide the numbers outside the square roots:
9 ÷ 27 = 1/3

Step 2: Divide the numbers inside the square roots:
√33 ÷ √11 = √(33/11) = √3

Step 3: Combine the results:
1/3 * √3 = (√3)/3

So, 9√33 divided by 27√11 simplifies to (√3)/3.

Answer 3

[AI-generated answer — Explain Bot]

To divide the expression (9 √33) by (27 √11), we can simplify the expression first.

Step 1: Simplify the numerator and denominator separately.
- Simplifying the numerator:
- √33 can be further simplified by separating it into its prime factors: √(3 * 11)
- Taking the square root of 3 and 11 separately gives: √3 * √11
- Therefore, the numerator becomes 9 * √3 * √11.

- Simplifying the denominator:
- √11 cannot be simplified any further.
- The denominator remains as 27 * √11.

Step 2: Divide the simplified numerator by the simplified denominator.
- Dividing the numerator (9 * √3 * √11) by the denominator (27 * √11), we can cancel out the common factors √11.
- The simplified expression becomes: (9 * √3) / 27.

Step 3: Reduce the fraction if possible.
- Both the numerator and denominator can be divided by 9, giving: √3 / 3.

Therefore, the final simplified expression is (√3 / 3).