The correct statements among given statements are statement C and E.
What is a rational number ?
If p & q are any two numbers where q is not equal to 0, then the fraction in form p/q is called as rational number.
A number is given which is √22.
√22 = 4.69041576
Let's check which of the statements are correct.
A.
√22 is not rational number as the number has non - terminating decimal value which is 4.69041576 and it doesn't lies between 10 and 12. So , this option is not correct.
B.
This option is also not correct as the value of √22 nearly equals 4.69 is and not greater than 4.691.
C.
The value of √22 is 4.69041576.
If we round off to the nearest hundredth , 9 is at the hundredth place , so the value will be 4.69. This is a correct option.
D.
√22 is not a rational number as the number has non - terminating decimal value which is 4.69041576 but it lies between 4 and 5. So , this option is not correct.
E.
The value of √22 is 4.69041576. We can observe that the decimal number doesn't repeat. So , this is a correct option.
F.
As we know √22 is not a rational number we can't represent it as fraction. This option is not correct.
Therefore , the correct statements among given statements are statement C and E.
Learn more about rational number here :
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