`sqrt4/(sqrt7+sqrt3)`

Simplify 5^(log1//5^((1//2)))+log_sqrt2(4/(sqrt7+sqrt3))+log_(1//2)(1/(10+2sqrt21)) .

solve (3sqrt5 +sqrt3)/(sqrt5 -sqrt3)

Simplify (7sqrt3)/(sqrt10+sqrt3)-(2sqrt5)/(sqrt6+sqrt5)-(3sqrt2)/(sqrt15+3sqrt2)

If sqrt (7 sqrt (7 sqrt7 sqrt7 sqrt7)) = 7 ^(x) then find the value of x

Prove that log_(7) log_(7)sqrt(7sqrt((7sqrt7))) = 1-3 log_(7) 2 .

The value of 6+ log_(3//2) (1/(3sqrt2)sqrt(4-1/(3sqrt2)sqrt(4-1/(3sqrt2)sqrt(4-1/(3sqrt2)...)))) is ________.

log_7log_7sqrt(7(sqrt(7sqrt(7))))=

(iii) (sqrt 5+ sqrt 3)/(sqrt5-sqrt3)+(sqrt5-sqrt3)/(sqrt5+sqrt3) =?

Simplify : (7)/(sqrt(17) - 2sqrt3)-( 3)/(sqrt(17) +2sqrt3)

Compute the following 56+(log)_(sqrt(2))4/(sqrt(7)+sqrt(3))+(log)_(1//2)1/(10+2sqrt(21))