What is an irrational number? Why this definition? On what basis?

Numbers that can't be expressed in fractions do n' t make sense - irrational numbers
A number that is not the root of an algebraic equation is not simple - a transcendental number
Numbers that can't be expressed on the number axis are a bit illusory - imaginary

What is the 2003 power of 2 plus the 2002 power of minus 2

The original equation =2 to the second power +(-2) to the second power *2
= Two + negative two to the second power *2
=0

The original equation =2 to the power of 2,+(-2) to the power of 2,*2
= Two + the two thousand and two power of negative two *2
=0

RELATED INFORMATIONS

1. It's a factor. 101Th power of (-2)+100th power of (-2) equals? What is the 2004 power of 3 minus the 2003 power of 3?
2. What is the 2003 power of 3 plus the 2002 power of -5×3 plus the 2001 power of 6×3
3. It is known that the value of the cubic +bx+1 of the algebraic expression ax is 6 when x=2, and the value of the cubic +bx+1 of the algebraic expression ax is obtained when X=2. Note: I am still in seventh grade,* symbol
4. If the value of the fifth power +ax3+bx++1 of the algebraic expression x is 2011 when x=1, then the value of the algebraic expression ax3+bx+1 is
5. When X =2011, the value of cubic +bx+1 of algebraic expression ax is 2012, and when x = negative 2011, the value of cubic +bx+1 of algebraic expression ax is —
6. Given x=3, the value of the algebraic expression ax to the third power +bx+1 is -2009, and the value of the algebraic expression x=-3 is obtained. Given x=3, the value of the cubic +bx+1 of the algebraic expression ax is -2009, and the value of the algebraic expression x=-3 is obtained.
7. Given real number a satisfies |2008-a A−2009= a, then a-20082 is () A.2009 B.2008 C.2007 D.2006
8. Given that the real number a satisfies (2008-a)^2+(a-2009)=a under the root number, the value of a-2008^2 is obtained. Given that the real number a satisfies (2008-a)^2+(a-2009)=a under the root number, find the value of a-2008^2 Given that the real number a satisfies (2008-a)^2+(a-2009)=a under the root sign, the value of a-2008^2 can be obtained.
9. Three unequal rational numbers can be expressed in the form of 1, a+b, a, or 0, b/a, b. Try to find the 2008 power of a + the 2007 power of b How do you calculate? Three non-equivalent rational numbers can be expressed in the form of 1, a+b, a, or 0, b/a, b. Try to find the 2008 power of a + the 2007 power of b How do you calculate?
10. Calculation:(2- 3)2012•(2+ 3)2013-2|− 3 2|-(− 2)0.
11. Observation:-2004,20052,-20063,20074... then number n is ______.
12. (Minus one fifth to the 2006 power) multiplied by five to the 2007 power
13. What is the minus one-third of the 2007 power multiplied by the minus three 2006 power? What is the minus one-third of the 2007 power multiplied by the minus three of the 2006 power? What is the power of minus one-third in 2007 multiplied by minus three in 2006?
14. What is two-thirds of the 2009 power multiplied by three-thirds of the 2010 power?
15. 0.25 To the 2010 power x 4 to the 2009 power -8 to the 100 power x 0.5 to the 300 power
16. (0.25) To the power of 2009 by 4 to the power of 2010
17. Given that a and b are mutually opposite numbers, c and d are mutually reciprocal,|x|=1, find the second power of x -(a+b+cd) x+(a+b)2008 power +(-cd)2009 power =? Given that a and b are opposite numbers to each other, c and d are reciprocal,|x|=1, find the second power of x -(a+b+cd) x+(a+b) of 2008 power +(-cd) of 2009 power =?
18. What is the result of calculating the 2009 power of minus 2 plus the 2010 power of minus 2?
19. The power of minus 8 in 2011 times the power of minus 8 in 1 in 2010 equals?
20. The second power of 2009 plus the second power of 2010 2^2009+(-2)^2010 The answer is 3x2 to the 2009 power, Second power of 2009 plus negative second power of 2010 2^2009+(-2)^2010 The answer is 3x2 to the 2009 power,