Question

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Answer 1

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.

Answer 2

\[\sqrt{64}+\sqrt{5}\]

Answer 3

\[\sqrt{64}+\sqrt{4}\]

Answer 4

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Answer 5

Question: What does the square root of 64 equal?

Answer 6

8 ?

Answer 7

Yes. What is square root of 4

Answer 8

2 ?

Answer 9

So that means that B is rational then right?

Answer 10

The numbers 8 and 2 are rational because they can be expressed as fractions: 8/1 and 2/1.

Irrational numbers cannot.

Answer 11

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

Answer 12

Not at all no.

Answer 13

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.

Answer 14

So, what is the final answer to the question

Answer 15

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

Answer 16

Correct: A is irrational, but B is rational.

Answer 17

Question?

Answer 18

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

Answer 19

You are welcome.