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## anonymous one year ago HElPOOOOO!!!!!!!!

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1. anonymous

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.

2. anonymous

$\sqrt{64}+\sqrt{5}$

3. anonymous

$\sqrt{64}+\sqrt{4}$

4. anonymous

@Directrix , @Nnesha , @Vocaloid

5. Directrix

Question: What does the square root of 64 equal?

6. anonymous

8 ?

7. Directrix

Yes. What is square root of 4

8. anonymous

2 ?

9. anonymous

So that means that B is rational then right?

10. Directrix

The numbers 8 and 2 are rational because they can be expressed as fractions: 8/1 and 2/1. Irrational numbers cannot.

11. Directrix

Question: Is the square root of 5 a rational number?

12. anonymous

Not at all no.

13. Directrix

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.

14. Directrix

So, what is the final answer to the question

15. anonymous

So that means the A is irrational, but B is rational, henceforth it is D right?

16. Directrix

Correct: A is irrational, but B is rational.

17. Directrix

Question?

18. anonymous

Thank you so much, you are absolutely awesome, I wish I had your smarts. Thank you very much!

19. Directrix

You are welcome.

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