Help please
Given the two expressions shown below: a. \[\sqrt{4}+\sqrt{25}\] b. \[\sqrt{4}+\sqrt{9}\] Which statement best describes the two expressions?
a. Both are rational. b Both are irrational. c. A is rational, but B is irrational. d. A is irrational, but B is rational.
you must know that: ~ \(\large\color{black}{ 2 \times 2=4 }\) ~ \(\large\color{black}{ 3 \times 3=9 }\) ~ \(\large\color{black}{ 5 \times 5=25 }\)
ok
how would you simplify your expressions? (if confused, I will give an example)
\[\sqrt{29} and \sqrt{13}\]
Here is my question for you, can you tell us what a rational number is?
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, \(\large\color{blue}{ \sqrt{16}+\sqrt{36} ~~~\Rightarrow 4+6=10 }\)
Fibo, I know what I am doing:)
a number that can be expressed as a ratio of two numbers, including decimals that terminate or repeat.
and certainly that an integer is a rational number.
rational numbers include intergers, whole, and natural numbers
yes, they do;)
So, what can you tell me about: 1) \(\large\color{blue}{ \sqrt{4}+\sqrt{25} \\ }\) 2) \(\large\color{blue}{ \sqrt{4}+\sqrt{9} }\)
2+5 and 2+3 ?
yes.
and that is same as: 7 and 5
so both are rational?
yup
Thank you so much! 1 don't know what 1 would do without you!
you welcome:)
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