1. Evaluate each. Write the answer in simplified radical form:

__ __ __
i) �ã3 ∙ 3�ã3 ∙ 4�ã3







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ii) �ãx 3�ãy
5�ã ________
4�ãz2(Z squared)

To evaluate the expressions and write the answers in simplified radical form, we need to simplify each term within the radicals and then combine them.

i) In the first expression, we have:

√3 * √3 * √4

To simplify the terms under the radicals, we can find the square root of each:

√3 = √(1*3) = √1 * √3 = 1 * √3 = √3

√4 = √(2*2) = √2 * √2 = 2

Now, let's combine the simplified terms:

√3 * √3 * √4 = √3 * √(3*2) = √(3*3*2) = √(9*2) = √18

The final answer, in simplified radical form, is √18.

ii) In the second expression, we have:

√x * √3y
-------------------
5√4 * √z^2 (square root of z squared)

First, let's simplify the terms under the radicals:

√x and √3y cannot be simplified any further.

√4 = √(2*2) = √2 * √2 = 2

Now, let's combine the simplified terms:

√x * √3y
-------------------
5 * 2√z^2

Simplifying further:

√x * √3y
-------------------
10√z

The final answer, in simplified radical form, is (√x * √3y) / (10√z).