Prove:√3+√2 is an irrational number.
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Is the sum, difference, product, quotient of two irrational numbers still irrational? Give an example
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- 1. Explain irrational numbers and give examples
- 2. Is this number rational or irrational? Is it a rational number or an irrational number? The calculator repeated the answer several times.
- 3. The product of two irrational numbers is a rational number.
- 4. How to judge whether the score is rational or irrational? Is the Pu'an section hard? Is that a rational number with a score?
- 5. How to judge whether the square root of a number is irrational or rational 123
- 6. You know that root 2 is an irrational number, and irrational numbers are infinite non-recurring decimals, so we can not write all the decimals of root 2, so small The root 2-1 is used to represent the decimal part of the root 2. Do you agree with Xiao Ming's representation? In fact, Xiao Ming's representation is reasonable, because the integer part of root 2 is 1. Subtract this number from its integer part, and the difference is the decimal part. Ask: Given 10+ root 3=x+y, where x is an integer and 0< y <1, find the opposite number of x-y.
- 7. Three times the root number 49 I through the calculator calculation found that it is a finite non-recurring decimal, not irrational number ah! Record the number that the calculator has calculated the root number 49 three times, bring it back in for calculation. Multiply it by the third power and it equals 9. Then isn't the root number 49 three times a rational number? Three times the root number 49 I found by calculator calculation it is a finite non-recurring decimal, not irrational number ah! Record the number that the calculator calculates the root number 49 three times and bring it back in for calculation. Multiply it by the third power and it equals 9. Then isn't the root number 49 three times a rational number?
- 8. We know that root 3 is an irrational number, it is an infinite non-recurring decimal, and 1< root 3<2, we call 1 the integer part of root 3, (Link above) Root 3-1 as decimal part of root 3. Using the above knowledge, can you determine the integer and decimal parts of the following irrational numbers? (1) Root number 10;(2) root number 88
- 9. The following statements are correct:() A. There is no minimum real number B. Rational numbers are finite decimals C. Infinite decimals are irrational numbers D. With roots The following statements are true () A. There is no minimum real number B. The rational number is a finite decimal C. Infinite decimals are irrational D. Numbers with roots are irrational The opposite of (3-√3) is The following statements are correct:() A. There is no minimum real number B. Rational numbers are finite decimals C. Infinite decimals are irrational numbers D. With roots The following statements are true () A. There is no minimum real number B. Rational is a finite decimal C. Infinite decimals are irrational D. Numbers with roots are irrational The opposite of (3-√3) is
- 10. If the value of irrational number a is between 1-5, write two irrational numbers that meet the conditions
- 11. How to prove that there are as many rational numbers as natural numbers? Why are irrational numbers more than rational numbers?
- 12. A is rational number x is irrational number prove a+x is irrational number
- 13. Is the sum of a rational number and an irrational number an irrational number? Please certify
- 14. A is a rational number and x is an irrational number. How that a+x is irrational number? A is rational number and x is irrational number. How to prove that a+x is irrational number?
- 15. Is there a rational number or an irrational number in mathematics? According to the concept of rational number, any fraction is rational number. But it is irrational number, it should be irrational number.
- 16. Given the position of rational number a.b.c. on the number axis as shown in the figure,|a|=|b|1.a+b and a/b values;2. sign of c-a/c-b and bc (a+c)(b+c)3 values;3. simplify |a+b|-|a-b|-|c-a|+2|c-b||a+c|-|-|b|. What if we don't? ____.________.__.____.___________ A b0c
- 17. Given that the square of x minus x minus 1 equals 0, the third power of negative x plus 2x plus 2011
- 18. Given that the square of X minus x minus 1 is equal to find the value of the cubic of the algebra negative x plus the square of 2x plus 2012 Given that the square of X minus x minus 1 equals 0, find the value of the cubic of the algebra negative x plus the square of 2x plus 2012
- 19. If the square of X minus x minus 1 equals zero, find the value of x to the fifth power of x to the fourth power plus 2x plus 1 If the square of X minus x minus 1 equals zero, then the fourth power of x plus 2 x plus 1 of x
- 20. Infinite nonrecurring decimals are called irrational numbers.