. Which statement is true? A. Every rational number is a square root. B. Every irrational number is a fraction. C. Every rational number can be written as a fraction. D. Every square root can be written as a whole number
i think c ?
every rational number can be written as a fraction
You are correct
thxs for this
this ws helpful i needed to check my answer
Yes, you are correct. The statement C is true. Every rational number can be written as a fraction.
To understand why, let's first define what a rational number is. A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.
Now, to prove that every rational number can be written as a fraction, we will take an arbitrary rational number, let's say "a/b", where "a" and "b" are integers and "b" is not zero. This is equivalent to saying a ÷ b.
We can represent this fraction as the division operation of "a" divided by "b". For example, if we have the rational number 3/4, we can write it as 3 ÷ 4.
Since division can also be interpreted as fraction, we can write the above division as a fraction where the numerator is the dividend (a) and the denominator is the divisor (b). So, 3 ÷ 4 is equivalent to 3/4.
Therefore, every rational number can be written as a fraction, supporting the statement C.
Now, let's take a quick look at the other options to see why they are false:
A. Every rational number is a square root. This is not true as not every rational number is a square root. For example, the rational number 3 is not a square root.
B. Every irrational number is a fraction. This is not true either. Irrational numbers cannot be expressed as fractions because their decimal representation goes on infinitely without repeating. Examples of irrational numbers include √2, π (pi), and e (Euler's number).
D. Every square root can be written as a whole number. This is not true as well. Square roots of non-perfect squares (numbers that are not the squares of whole numbers) are irrational numbers. For example, √2 is an irrational number.
please i need help
A - of course it's true. It's the square root of its square 2/3 = √(4/9)
But, if they mean square root of an integer, then no, A is false.
B - huh? No irrational number is a fraction (or ratio of two integers)
C - yes, true