0
Irrational Numbers
An irrational number is a number that can't be expressed by a fraction having integers in both its numerator and denominator. While their existence was once kept secret from the public for philosophical reasons, they are now well accepted, yet still surprisingly hard to prove on an individual basis. Please post all questions about irrational numbers, including the famous examples of π, e, and √2, into this category.
3,962 Questions
What is the approximate square root of 79 to the nearest whole number?
The square root of 79 is approximately 8.89. Rounding to the nearest whole number, the approximate square root of 79 is 9.
Is the number 0.4744 a rational or irrational number?
Rational , because it can be converted to an ratio/fraction
0.4744 = 0.4744/1.0000 = 4744/10000
Cancel down by '2'
4744/10000 = 2372/5000
Cancel down again by '2'
1186/2500
Cancel down again by '2'
593/1250 Done!!!!
NB An IRRATIONAL number is one were the decinals go to infinity AND there is NO regular order in the decimal digits.
pi = 3.141592.... Is the most well known irrational number.
However,
1/3 = 0.3333.... is NOT irrational because the decimal digits are in a regular order of '3'.
Is negative 3 a rational number or irrational number?
'-3' is RATIONAL.
IRRATIONAL numbers are those where the decimals go to inifinity AND there is no regular order in the decimal digits.
e.g.
pi = 3.141592..... is IRRATIONAL
but
1/3 = 0.3333.... is RATIONAL.
NB Both go to infinity, but '1/3' has the decimals in a regular order .
What number closest to 3 that is irrational?
The number closest to 3 that is irrational is the square root of 8, which is approximately 2.83. The square root of 8 is irrational because it cannot be expressed as a simple fraction or terminate as a decimal. It is also the closest irrational number to 3 on the number line.
What is an irrational number less than 0?
Oh, dude, an irrational number less than 0? That's like asking for a vegan steak - it just doesn't exist in the real world! Irrational numbers are those funky ones that can't be expressed as a simple fraction, and they can be positive or negative, but they're always a bit wild and unpredictable. So, yeah, there's no such thing as an irrational number less than 0.
Is 8.3 rational or irrational?
8.3 is a rational number. A rational number is any number that can be expressed as a fraction where the numerator and denominator are both integers and the denominator is not zero. In the case of 8.3, it can be written as 83/10, where both 83 and 10 are integers.
As given as '9.67' , then NO!!!!
Casually, irrational numbers are those were the decimals go to infinity AND there is no regular order in the decimal digits.
pi= 3.141592.... is proabably the most well known irrational number.
However, 9.67 can be converted to a fraction / ratio as 9 67/100
What is an irrational number that is less than negative 3?
A number that is real, irrational, and less than 3 are many numbers. Here are two examples:
1#: √10(i2)... because this comes out to be very close to
-3.1622776601683793319988935444327
2#: -pi...... you switch the value of pi from positive to negative, making it less that -3 and irrational
-3. 1415926535897 9323846264338 3279502884197 1693993751058 2097494459230 7816406286208 9986280348253 4211706798214 8086513282306 6470938446095 5058223172535 9408128481117 4502841027019 3852110555964 4622948954930 3819644288109 7566593344612 8475648233786 7831652712019 0914564856692 3460348610454 3266482133936 0726024914127 3724587006606 3155881748815 2092096282925 4091715364367 8925903600113 3053054882046 6521384146951 9415116094330 5727036575959 1953092186117 3819326117931 0511854807446 2379962749567 3518857527248 9122793818301 1949129833673 3624406566430 8602139494639 5224737190702 1798609437027 7053921717629 3176752384674 8184676694051 3200056812714 5263560827785 7713427577896 0917363717872 1468440901224 9534301465495 8537105079227 9689258923542 0199561121290 2196086403441 8159813629774 7713099605187 0721134
Is 89.396668... irrational or rational?
The number 89.396668... is rational because it can be expressed as a fraction of two integers. A rational number is any number that can be written as the ratio of two integers, where the denominator is not zero. In this case, the number can be written as 8933/100, which is a ratio of two integers.
No because it is a rational number that can also be expressed as a fraction whereas irrational numbers can't be expressed as fractions.
No.
Is whole number irrational number?
irrational numbers are those which are inexpressible as ratios of two whole numbers. any whole number w can be expressed as w/1.
Is 29.2992999 rational or irrational?
29.2992999 is the ratio of 292,992,999 and 1,000,000 . It's perfectly rational.
A binary (not binari!) number does nothing. It is a number and is not capable of any action.
Is negative zero point two a rational or irrational number?
-0.2 is another way of saying -1/5. It's rational.
What are some limitations of square root?
the number in the root should be a positive number other wise the answer is going to be an imaginary number
If you get a whole number while doing square roots what would the answer be rational or irrational?
A rational number is a number that can be expressed as the division of two integers, while the divisor is not zero. An irrational number is any number that is not rational.
Whole numbers are rational, because the divisor is 1. It has nothing to do with square roots.
Is one over sixteen an irrational square root?
One over sixteen = 1/16, which is a rational number (not irrational). The square root of 1/16 = 1/4 (or -1/4), which is also a rational, so the answer is No.
