`4^(5 log_(4sqrt(2)) (3-sqrt(6)) - 6 log_8(sqrt(3)-sqrt(2)))`

4^(5log_(4)(sqrt(2)(3-sqrt(6)))-6log_(8)(sqrt(3)-sqrt(2)))

The value 4^(5log_(4sqrt(2))(3-sqrt(6))-6log_(8)(sqrt(3)-sqrt(2))) is

Find the value of 4^(5log_(4sqrt2)(3-sqrt6)-6log_8(sqrt3-sqrt2)) .

log_((5+2sqrt(6)))(5-2sqrt(6))

(ii) log_(sqrt(5)+1)(6+2sqrt(5))

The value of 2(log_(sqrt(2)+1)sqrt(3-2sqrt(2))+log_((2)/(sqrt(3+1)))(6sqrt(3)-10)) is

which of the following are positive and negative: (i) log _(sqrt(3))sqrt(2) (ii) log_(4)((sqrt(2)+1)/(sqrt(2)-1))

Rationales the denominator and simplify: (sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2)) (ii) (5+2sqrt(3))/(7+4sqrt(3)) (iii) (1+sqrt(2))/(3-2sqrt(2)) (2sqrt(6)-sqrt(5))/(3sqrt(5)-2sqrt(6)) (v) (4sqrt(3)+5sqrt(2))/(sqrt(48)+sqrt(18)) (vi) (2sqrt(3)-sqrt(5))/(2sqrt(3)+3sqrt(3))

(3sqrt(2))/(sqrt(6)-sqrt(3))-(4sqrt(3))/(sqrt(6)-sqrt(2))-(6)/(sqrt(8)-sqrt(12))=? a.sqrt(3)-sqrt(2)b*sqrt(3)+sqrt(2)c.5sqrt(3)d.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))