The different between[tex]\sqrt{7}[/tex] and [tex]\sqrt{2}[/tex] is a/an rational __________.
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Answer:
irrational
Explanation:
What a rational is:
a number that can be given as the ratio of two integers
We know that √2 cannot be given as a ratio of two integers.
(√7 also cannot be given as a ratio of two integers)
[What an irrational number is:
a number that cannot be given as the ratio of two integers]
This makes √2 and √7 irrational numbers.
When subtracting √2 from anything, (other than √2) you end up with an irrational number. [or √7]
0 - √2 = irrational
10204 - √2 = irrational
4 - √2 = irrational
So, when subtracting √2 from √7, (finding the difference between the two), we are left with an irrational number.