Find the sum of \sqrt{4}√ 4 and 3\sqrt{9}3√ 9 in simplest form. also, determine whether the result is rational or irrational and explain your answer.

You can use the fact that if a square root contains only a squared quantity, then the root and the square will cancel out and that quantity will remain.

Those numbers who can be written as ratio of integers.

Those numbers who cannot be written as ratio of integers.

Since we can write 11  as 11:1 or 11/1, thus it is expressible as ratio of two integers, thus being a rational number.

Thus,

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