anonymous
  • anonymous
Which of the following is a rational number? square root 97square root 98, square root 99, square root 100 square root 97 square root 98 square root 99 square root 100
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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UsukiDoll
  • UsukiDoll
a rational number can be expressed as a fraction an irritation number can't be expressed as a fraction
UsukiDoll
  • UsukiDoll
*irrational
UsukiDoll
  • UsukiDoll
examples of rational numbers \[\LARGE \frac{1}{2}, \frac{3}{1}\] Examples of irrational numbers \[\LARGE \pi, e, \sqrt{3}\]

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More answers

UsukiDoll
  • UsukiDoll
let's start with the last one. what is the square root of 100?
anonymous
  • anonymous
10 @UsukiDoll
UsukiDoll
  • UsukiDoll
yay so that's a rational number. I can express that as a fraction which is \[\large \frac{10}{1} \]
anonymous
  • anonymous
right @UsukiDoll
UsukiDoll
  • UsukiDoll
I don't think there are any more choices for rational numbers... 97 is a prime number and that's in a square root . that's irrational
UsukiDoll
  • UsukiDoll
and even if we did simplify the square root of 98 and 99, we will still have a square root left order...
anonymous
  • anonymous
so 97s the awnser @UsukiDoll
UsukiDoll
  • UsukiDoll
no for 2 reasons 97 is a prime number 97 is inside the square root and can't be expressed as a fraction .
UsukiDoll
  • UsukiDoll
but not all square roots are irrational ... so we need to be careful on this. if we are left with a square root that can be simplified further .. it becomes rational
UsukiDoll
  • UsukiDoll
for example \[\LARGE \sqrt{2}\] is irrational but \[\LARGE \sqrt{4}=2\] is rational
UsukiDoll
  • UsukiDoll
there could be some more rational numbers lurking
UsukiDoll
  • UsukiDoll
or not...
UsukiDoll
  • UsukiDoll
|dw:1438236905176:dw| take the square root of 49 and square root of 9
UsukiDoll
  • UsukiDoll
even if I do take those square roots, I still have something left over and they are irrational.
UsukiDoll
  • UsukiDoll
|dw:1438237057661:dw| I can't express these as fractions ... so again they are in the irrational group
UsukiDoll
  • UsukiDoll
but for the last one which is square root of 100 I can express it as a fraction, so that's the rational number we are looking for |dw:1438237176763:dw|
Sepeario
  • Sepeario
* a rational number can be expressed as a fraction of two whole numbers.

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