Question

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

Answer 1

a rational number can be expressed as a fraction
an irritation number can't be expressed as a fraction

Answer 2

*irrational

Answer 3

examples of rational numbers
\[\LARGE \frac{1}{2}, \frac{3}{1}\]
Examples of irrational numbers
\[\LARGE \pi, e, \sqrt{3}\]

Answer 4

let's start with the last one.
what is the square root of 100?

Answer 5

10 @UsukiDoll

Answer 6

yay so that's a rational number. I can express that as a fraction which is
\[\large \frac{10}{1} \]

Answer 7

right @UsukiDoll

Answer 8

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

Answer 9

and even if we did simplify the square root of 98 and 99, we will still have a square root left order...

Answer 10

so 97s the awnser @UsukiDoll

Answer 11

no for 2 reasons
97 is a prime number
97 is inside the square root and can't be expressed as a fraction .

Answer 12

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

Answer 13

for example
\[\LARGE \sqrt{2}\] is irrational
but
\[\LARGE \sqrt{4}=2\] is rational

Answer 14

there could be some more rational numbers lurking

Answer 15

or not...

Answer 16

take the square root of 49 and square root of 9