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State whether the following statements are true or false. Justify your answers: `sqrtn` is irrational if n is a perfect square

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VGS PUBLICATION-BRILLIANT-REAL NUMBERS-EXERCISE
  1. State whether the following statements are true or false. Justify your...

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  2. State whether the following statements are true or false. Justify your...

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  3. State whether the following statements are true or false. Justify your...

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  4. State whether the following statements are true or false. Justify your...

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  5. Visualise the representation of 3.5bar8 on the number line through suc...

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  6. Visualise 2.874 on the number line, using successive magnification.

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  7. Visualise 5.bar28 on the number line, upto 3 decimal places.

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  8. Hasith said “5sqrt3+2sqrt7=7sqrt10”. Do you agree with him?

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  9. How can you find the value of 5sqrt2-sqrt8.

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  10. Check whether 5sqrt2 is irrational numbers or not ?

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  11. Check whether 5/(sqrt2) is irrational numbers or not?

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  12. Check whether 21+sqrt3 is irrational numbers or not?

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  13. Check whether x+3 is irrational numbers or not?

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  14. Subtract 5sqrt3+7sqrt5 from 3sqrt5-7sqrt3

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  15. Multiply 6sqrt3 with 13sqrt3

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  16. Simplify the following expressions : (3+sqrt3)(2+sqrt2)

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  17. Simplify the following expressions : (2+sqrt3)(2-sqrt3)

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  18. Simplify the following expressions : (sqrt5+sqrt2)^(2)

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  19. Simplify the following expressions : (sqrt5-sqrt2)(sqrt5+sqrt2)

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  20. Find the square root of 5+2sqrt6

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