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Given the two expressions shown below: square root of 64 plus square root of 5 square root of 64 plus square root of 4 Which statement best describes the two expressions? Both are rational. Both are irrational. A is rational, but B is irrational. A is irrational, but B is rational.
@Directrix , @Nnesha , @Vocaloid
Question: What does the square root of 64 equal?
Yes. What is square root of 4
So that means that B is rational then right?
Question: Is the square root of 5 a rational number?
Not at all no.
Good. We are ready to answer the question. A) square root of 64 plus square root of 5 = 8 + square root of 5 The whole thing is irrational if any part of the sum is irrational. B) square root of 64 plus square root of 4 = 8 + 2 = 10. 10 is a rational number because it can be written as the ratio of two integers: 10/1. So, Option B represenets a rational number.
So, what is the final answer to the question
So that means the A is irrational, but B is rational, henceforth it is D right?
Correct: A is irrational, but B is rational.
Thank you so much, you are absolutely awesome, I wish I had your smarts. Thank you very much!
You are welcome.