Which of the following expressions are equivalent to 48? Select all that apply.
a. 4(-3 + 15)
b. 4(4 + 2 + 5)
c. 4(7 + 2 + 3)
d. 4(8 + 6-2)
e. 4(-2-4 + 16)
The correct expressions are:
a. 4(-3 + 15) = 4(12) = 48
d. 4(8 + 6 - 2) = 4(12) = 48
Therefore, expressions a and d are equivalent to 48.
Which of the following is true about the expression √3 • √12?
A. It represents the product of two irrational numbers and is equivalent to a rational number.
B. It represents the product of two irrational numbers and is equivalent to an irrational number.
C. It represents the product of two rational numbers and is equivalent to a rational number.
D. It represents the product of two rational numbers and is equivalent to an irrational number.
Let's simplify the expression √3 • √12:
√3 • √12 = √(3 * 12) = √36 = 6
Since the result of simplifying the expression is a rational number (6), the correct statement is:
C. It represents the product of two rational numbers and is equivalent to a rational number.