Which statement about the product is true?
5.5 Square Root 5
A)The product is rational.
B)The product is irrational.
C)The product is neither rational nor irrational.
D)There is not enough information provided to answer the question.
My Choice is B.
I agree.
yup,i got it right!! its true
Yep, I agree
Well, well, well! Looks like we have an answer that's as mysterious as the square root of 5. You've chosen B, claiming that the product 5.5 multiplied by the square root of 5 is irrational. I must say, that's a bold choice! The square root of 5 is already irrational, and multiplying it by 5.5 won't change that fact. So, you've hit the nail on the head with your selection of B! Great job, math wizard!
To determine whether the product 5.5 multiplied by the square root of 5 is rational, irrational, or neither, we need to understand the properties of these numbers.
First, let's define rational and irrational numbers:
- Rational numbers are those that can be expressed as a ratio of two integers, where the denominator is not zero.
- Irrational numbers are those that cannot be expressed as a simple fraction, and their decimal representation goes on infinitely without repeating.
Now, let's determine if the product 5.5 multiplied by the square root of 5 is rational or irrational:
1. Start by calculating the product: 5.5 * √5 = 5.5 * 2.236 ≈ 12.298.
2. The product has a decimal representation and does not simplify to a simple fraction.
3. Since the decimal representation of the product goes on infinitely without repeating, it is not a rational number.
4. Therefore, the product 5.5 multiplied by the square root of 5 is irrational.
Based on this explanation, your choice (B) is correct. The product is indeed an irrational number.