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evaluate: (4-sqrt5)^2...

evaluate:
`(4-sqrt5)^2`

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MODERN PUBLICATION-NUMBER SYSTEMS-EXERCISE
  1. Simplify: (5+sqrt3)(5-sqrt3)

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  2. Simplify: (sqrt5+sqrt2)(sqrt2-sqrt3)

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  3. evaluate: (4-sqrt5)^2

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  4. Represent sqrt5,sqrt6 and sqrt7 on the number line.

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  5. Represent sqrt3.5, sqrt4.3 and sqrt8.47 on the number line.

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  6. Visualise 2.564 on the number line, using successive magnifications.

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  7. Visualise 5.2bar6 on the number line, upto 4 places of decimal.

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  8. Rationalise the denominator of the following: 1/sqrt7

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  9. Rationalise the denominator of each of the following 1/sqrt12

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  10. Rationalise the denominator of each of the following 3/(2sqrt5)

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  11. Rationalise the denominator of each of the following 1/(sqrt5-2)

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  12. Rationalise the denominator of each of the following 16/(sqrt41-5)

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  13. Rationalise the denominator of each of the following 1/(2sqrt5-sqrt3)

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  14. Rationalise the denominator of each of the following (3-2sqrt2)/(3+2sq...

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  15. Rationalise the denominator of each of the following (5+2sqrt3)/(7+4sq...

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  16. Rationalise the denominator of each of the following (2sqrt3-sqrt5)/(2...

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  17. Find the values of a and b in each of the following (sqrt3+1)/(sqrt3-1...

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  18. Find the value of a and b in each of the following : (3+sqrt2)/(3-sqrt...

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  19. Find the values of a and b in each of the following (4+3sqrt5)/(4-3sqr...

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  20. Find the values of a and b in each of the following (5+2sqrt3)/(7+4sqr...

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