Which of the following is true about the expression square root of 3 times the square root of 12?

Step-by-step explanation:

The expression "square root of 3 times the square root of 12" is written symbolically as:

3√12

Remembering that 12 = 4·3, and that 4 is a perfect square and 3 is not, we get:

3√4·√3, or

3(2)·√3, or

6·√3.

This is the product of a rational number (6) and an irrational one (√3).  This product is irrational.

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

answer: 800

step-by-step explanation: