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Simplify the following by rationalizing ...

Simplify the following by rationalizing the denominator:
`(sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2))`

Text Solution

Verified by Experts

The correct Answer is:
`5-2sqrt(6)`
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ICSE-RATIONAL AND IRRATIONAL NUMBERS -EXERCISE 1 (C)
  1. Rationalize the denominatior of : (2-sqrt(3))/(2+sqrt(3))

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  2. Rationalize the denominatior of : (sqrt(3)+1)/(sqrt(3)-1)

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  3. Simplify the following by rationalizing the denominator: (sqrt(3)-sq...

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  4. Rationalize the denominatiors of : (sqrt(6)-sqrt(5))/(sqrt(6)+sqrt(5...

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  5. Rationalize the denominatiors of : (2sqrt(5)+3sqrt(2))/(2sqrt(5)-3s...

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  6. Find the values of a and b in each of the (2+sqrt(3))/(2-sqrt(3))= ...

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  7. Find the values of a and b in each of the (sqrt(7)-2)/(sqrt(7)+2)= ...

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  8. Find the values of a and b in each of the (3)/(sqrt(3)-sqrt(2))= a...

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  9. Find the values of a and b in each of the (5+3sqrt(2))/(5-3sqrt(2)...

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  10. Simplify : (22)/(2sqrt(3)+1)+(17)/(2sqrt(3)-1)

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  11. Simplify : (sqrt(2))/(sqrt(6)-sqrt(2))- (sqrt(3))/(sqrt(6)+sqrt(2))

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  12. If x =(sqrt(5)-2)/(sqrt(5)+2) and y = (sqrt(5)+2)/(sqrt(5)-2) : find :...

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  13. If x =(sqrt(5)-2)/(sqrt(5)+2) and y = (sqrt(5)+2)/(sqrt(5)-2) : find :...

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  14. If x =(sqrt(5)-2)/(sqrt(5)+2) and y = (sqrt(5)+2)/(sqrt(5)-2) : find :...

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  15. If x =(sqrt(5)-2)/(sqrt(5)+2) and y = (sqrt(5)+2)/(sqrt(5)-2) : find :...

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  16. If m = (1)/(3-2sqrt(2)) and n = (1)/(3+2sqrt(2)) find : (i) m^(2) (...

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  17. If x=2sqrt(3)+2sqrt(2) find : (1)/(x)

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  18. If x=2sqrt(3)+2sqrt(2) find : x+(1)/(x)

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  19. If x=2sqrt(3)+2sqrt(2) find : (x+(1)/(x))^(2)

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  20. If x =1-sqrt(2) find the value of (x-(1)/(x))^(3)

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