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Show that 2+sqrt3 is an irrational numbe...

Show that `2+sqrt3` is an irrational number.

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KALYANI PUBLICATION-RECAPITULATION: RATIONAL AND IRRATIONAL NUMBERS-EXERCISE
  1. Show that 2+sqrt3 is an irrational number.

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  2. Stane Euclid's division lemma.

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  3. What is an algorithm?

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  4. Write down the form of any positive integer: When it is dividing by 2.

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  5. Write down the form of any positive integer: When it is dividing by 3.

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  6. Write down the form of any square of an positive integer.

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  7. What is the HCF of two numbers when one of it is zero?

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  8. What is the HCF and LCM of two prime numbers p and q?

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  9. What is the LCM of x and y if the HCF is r?

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  10. If 2^a*3^b*5^c = 10800, find a, b, c.

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  11. If a^4*b^2*c= 1008 find a, b, c.

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  12. If the product and LCM of two quantities are a b^2 c and abc respectiv...

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  13. If the product and LCM of two quantities are a b^2 c and abc respectiv...

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  14. Without performing the division state 9 /1600will be a terminating dec...

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  15. Fill In the blanks: is neither prime nor composite

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  16. Fill In the blanks: The only even prime number is.

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  17. Fill In the blanks: Sum of two irrational number is .but its product m...

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  18. Fill In the blanks: There are infinite irrational numbers between any ...

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  19. Fill In the blanks: The of HCF and LCM of two numbers is to the produc...

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  20. Euclid's division Lemma states that if a and b are any two positive in...

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  21. HCF (a, b) equals to

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