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The value of (2+sqrt(3))/(2-sqrt(3))+(2-...

The value of `(2+sqrt(3))/(2-sqrt(3))+(2-sqrt(3))/(2+sqrt(3))+(sqrt(3)+1)/(sqrt(3-1))` is

A

a) `16+sqrt(3)`

B

b) `4-sqrt(3)`

C

c) `2-sqrt(3)`

D

d) `2+sqrt(3)`

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The correct Answer is:
A
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If sqrt(2) = 1.414, sqrt(3) = 1.732, sqrt(5) = 2.236 and sqrt(6) = 2.449 , find the value of (2+sqrt(3))/(2-sqrt(3)) +(2-sqrt(3))/(2+sqrt(3)) +(sqrt(3) -1)/(sqrt(3) +1)

Simplify (i) (4+ sqrt(5))/(4-sqrt(5))+(4-sqrt(5))/(4+sqrt(5)) (ii) (1)/(sqrt(3) + sqrt(2)) - (2)/(sqrt(5)-sqrt(3)) -(2)/(sqrt(2) - sqrt(5)) (iii) (2+sqrt(3))/(2-sqrt(3)) + (2-sqrt(3))/(2+sqrt(3)) + (sqrt(3)-1)/(sqrt(3)+1) (iv) (2+sqrt(6))/(sqrt(2)+sqrt(3))+(6sqrt(2))/(sqrt(6)+sqrt(3)) -(8sqrt(3))/(sqrt(6)+sqrt(2))

((2+sqrt(3))/(2-sqrt(3))+(2-sqrt(3))/(2+sqrt(3))+(sqrt(3)-1)/(sqrt(3)+1)) simplifies to 16-sqrt(3)(b)4-sqrt(3)(c)2-sqrt(3) (d) 2+sqrt(3)

(sqrt(3)-sqrt(2))(1)/(sqrt(3))

The value of sqrt(2 + sqrt(3)) + sqrt(2 - sqrt(3)) is

(1)/(sqrt(2)+sqrt(3))-(sqrt(3)+1)/(2+sqrt(3))+(sqrt(2)+1)/(2+2sqrt(2))

(1+sqrt(2))/(sqrt(5)+sqrt(3))+(1-sqrt(2))/(sqrt(5)-sqrt(3))

KIRAN PUBLICATION-POWER, INDICES AND SURDS-Type -IV
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  4. The square root of 14+6sqrt(5) is

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