which of the following is true about the expression \sqrt(1) \sqrt(12)

It represents the product of two irrational numbers and is equivalent to a rational number.
It represents the product of two irrational numbers and is equivalent to an irrational number.
It represents the product of two rational numbers and is equivalent to a rational number.
It represents the product of two rational numbers and is equivalent to an irrational number.
PLEASE EXPLAIN YOUR EXPRESSION

1 answer

The expression given is \sqrt(1) * \sqrt(12).

To evaluate this, we can simplify each square root separately before taking their product.

√1 = 1 because the square root of 1 is equal to 1.

√12 is an irrational number because the square root of a non-perfect square is typically irrational. In this case, the square root of 12 is approximately 3.4641.

So, we have 1 * 3.4641, which is equal to 3.4641.

From the answer choices given:

- It does not represent the product of two irrational numbers because only one of the square roots is irrational.

- It does not represent the product of two rational numbers because one of the square roots is irrational.

Therefore, the correct answer is:

It represents the product of one rational number and one irrational number and is equivalent to an irrational number.