Question

9√33 divided by 27√11

Answer 1

9√33 / by 27√11 = 9/27 * √33/√11 = 1/3 * √3 = 1/√3

Answer 2

To simplify this expression, we can first divide the numerator and denominator separately.

Numerator: 9√33

Denominator: 27√11

Dividing the numerator by 9:

9√33 / 9 = √33

Dividing the denominator by 27:

27√11 / 27 = √11

Therefore, the simplified expression is:

√33 / √11

Answer 3

Apologies for the mistake. Let's simplify the expression step by step:

9√33 / 27√11

To divide, we can simplify the numerator and denominator separately:

Numerator: 9√33 = 3√33 * 3

Denominator: 27√11 = 3√11 * 3

Now we can rewrite the expression as:

(3√33 * 3) / (3√11 * 3)

Cancel out the common factors of 3:

(√33 * 3) / (√11 * 3)

This simplifies to:

√33 / √11

To rationalize the denominator, we multiply both the numerator and denominator by the conjugate of the denominator, which is √11:

(√33 / √11) * (√11 / √11)

This gives us:

(√33 * √11) / (√11 * √11)

Simplifying the numerator and denominator:

√(33*11) / √(11^2)

√363 / 11

Therefore, the simplified expression is:

√363 / 11