sqrt(151) = 12.28820573....

It would suggest that it is IRRATIONAL.

The prefix for irrational is "ir-" which means not or opposite of.

3.625 is RATIONAL, because you have not indicated if it continues to infinity.

To continue to infinity then the number is written as 3.625... (Note the dots).

However, 3.625... is also rational , because it can be converted to a quotient(fraction).

NB IRRATIONAL numbers have their decimal going to infinity AND the decimal digits are not in any regular order.

pi = 3.141592.... Is the most well known irrational number.

Other irrationsal numbers are the square roots of prime numbers.

thereNO!!! Because you can convert it to a quotient(fraction).

However, 1.33333 is a terminal decimal . To indicate it is a decimal to infinity , it is written as 1.33333... Note the use of the 'three or more dots'.

1.33333 Terminal decimal to a fraction is 1 33333/100000 Horrible I know Ugh!!!!!

1.33333... as a decimal to inifinity to a fraction ;-

Let P - 1.33333....

Then

10P = 13.33333....

Subtract

9P = 12 ( Note the deciamsl subtract to 'zero' )

P = 12/9

P = 1 3/9

P = 1 1/3 The answer!!!!

0

'6' is RATIONAL.

Casually IRRATIONAL numbers are those that have decimals going to infinity AND the decimal digits are NOT in any regular order.

'pi' = 3.141592.... is the most well known irrational number.

However, 3.3333... is RATIONAL becaause the decimal digits are in a regular order of '3'.

NO!!!! It is NOT irrational. Reason, it can be converted to a Ratio(fraction).

How do I know???

1. You have not indicated that the decimals go to inifinity.

2. There is a regular order in the digits.

As given it is a terminal decimal 0.57575757

If it was an infinite decimal it should read 0.57575757... ( Note the dots that indicate it contiunes to infinity.

As a terminal decimal its fraction is 57575757/100000000 Ugh!!!!

As an infinite decimal it can be converted to a ratio(fraction)

Hence

Let P = 0.57575757...

&

100P = 57.57575757....

Subtract

99P = 57 ( Notice the repeating decimals subtract to zero.

P = 57/99

Cancel down by '3'

P = 19/33 THe answer

0.575757... = 19/33

&

0.57575757 = 57575757/100000000

2.756 is a rational number. A rational number is any number that can be expressed as an integer, fraction or mixed number, or decimal. Irrational numbers cannot be expressed as simple fractions and do not have repeating decimals such as π (pi), e, and the square root of 2.

An example of a negative irrational number is -√2 (negative square root of 2). This number cannot be expressed as a simple fraction and has a non-repeating, non-terminating decimal expansion.

yes

No, it is an imaginary number.

First of all 'pi' is spelled as 'pi' . NOT 'pie' ; that is the meat pie of apple pie that you eat.

'pi' is the small case classical Greek letter 'p' and mean 'proportion'.

It is the proportional constant between a circles diameter and circumference.

'pi' is an IRRATIONAL number.

Casually this means, that the decimal digits go to infinity, and the digits are NOT in a any regular order. .

More formally 'irrational' means that you cannot form an exact ratio from it's decimal digits.

pi= 3.14 , 3.1416, 3.14592654, 22/7 are all approximations of 'pi'.

Super . Duper Computers have calculated 'pi' to billions of places and still going. !!!!!

Since it can be written as a fraction (9.0 = 90/10), then it 9.0 is a rational number.

Definitely RATIONAL.

Remember , casually irrational numbers are those decimals that go to inifinity , and the decimal digits are not in any regular order.

pi = 3.1415926.... is probably the most well known irrational number.

Other irrational numbers are the Sqyare roots of prime numbers.

e.g. sqrt(2) = 1.414213562....

sqrt(3) = 1.732508080....

sqrt(5) = 2.236067978....

More formally an Irrational number cannot be converted to a quotient (fraction).

NO!!! It is an integer.

Casually irrational numbers are those where the decimal digits go to infinity and there is no regular order in the decimal number sequence.

pi = 3.1415926.... Is probably the most well known irrational number.

No because if need be it can be expressed as a fraction and so therefore it is a rational number

Since 1.42 could be written as a fraction (142/100), then of course it is a rational number.

sqrt(32) = 4sqrt(2)

The square root of '2' is irrational, so the square root of '32' is irrational.

Rational, because it can be converted to a fraction .

Let

P = 0,353535....&

100P = 35.353535...

Subtract

99P = 35.0

P = 35/99 This will not reduce any further.

NB An IRRATIONAL number can be casually thought of as a decimal were the digits go to infinity , and there is no regular order in the digits.

pi = 3.141592... is probably the most well known irrational number.

Other irrational; numbers being the square root of prime numbers.

e.g.

sqrt(2) = 1.414213562....

If a numerator and/or denominator in a fraction is irrational, the entire fraction is irrational. Since pi is irrational, pi divided by two is also irrational.

Rational , because it can be converted to a fraction.

7.76 = 7 76/100 = 7 38/50 = 7 19/25

NB Irrational numbers cannot be converted tpo a quotient.

'pi = 3.1415936.... ' it the most famous irrational number.

When you are given pi = 3.14' in school , this is only an approximation.

sqrt(0.09 is rational because you can convert it to a quotient.

sqrt(0.09) = 0.3 = 3/10 a quotient.

The next integer is 1101, but there is no next number.

it is x + 5

Rational

It is rational.

Any number that has a digit, or group of digits, that repeat forever is rational.