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Mathematics 7 Online
OpenStudy (anonymous):

Help please

OpenStudy (anonymous):

Given the two expressions shown below: a. \[\sqrt{4}+\sqrt{25}\] b. \[\sqrt{4}+\sqrt{9}\] Which statement best describes the two expressions?

OpenStudy (anonymous):

a. Both are rational. b Both are irrational. c. A is rational, but B is irrational. d. A is irrational, but B is rational.

OpenStudy (solomonzelman):

you must know that: ~ \(\large\color{black}{ 2 \times 2=4 }\) ~ \(\large\color{black}{ 3 \times 3=9 }\) ~ \(\large\color{black}{ 5 \times 5=25 }\)

OpenStudy (anonymous):

ok

OpenStudy (solomonzelman):

how would you simplify your expressions? (if confused, I will give an example)

OpenStudy (anonymous):

\[\sqrt{29} and \sqrt{13}\]

OpenStudy (fibonaccichick666):

Here is my question for you, can you tell us what a rational number is?

OpenStudy (solomonzelman):

For example if I had: \(\large\color{blue}{ \sqrt{16}+\sqrt{36} }\) then I know that: \(\large\color{black}{ 4 \times 4=16 }\) and \(\large\color{black}{ 6 \times 6=36 }\) So, \(\large\color{blue}{ \sqrt{16}+\sqrt{36} ~~~\Rightarrow 4+6=10 }\)

OpenStudy (solomonzelman):

Fibo, I know what I am doing:)

OpenStudy (anonymous):

a number that can be expressed as a ratio of two numbers, including decimals that terminate or repeat.

OpenStudy (solomonzelman):

and certainly that an integer is a rational number.

OpenStudy (anonymous):

rational numbers include intergers, whole, and natural numbers

OpenStudy (solomonzelman):

yes, they do;)

OpenStudy (solomonzelman):

So, what can you tell me about: 1) \(\large\color{blue}{ \sqrt{4}+\sqrt{25} \\ }\) 2) \(\large\color{blue}{ \sqrt{4}+\sqrt{9} }\)

OpenStudy (anonymous):

2+5 and 2+3 ?

OpenStudy (solomonzelman):

yes.

OpenStudy (solomonzelman):

and that is same as: 7 and 5

OpenStudy (anonymous):

so both are rational?

OpenStudy (solomonzelman):

yup

OpenStudy (anonymous):

Thank you so much! 1 don't know what 1 would do without you!

OpenStudy (solomonzelman):

you welcome:)

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