Find the values of `m and n` if: `4^(2m)=(3sqrt16)^(-6/n)=(sqrt(8))^2`

Find the values of m and n if : 4^(2m)=(root(3)(16))^(-(6)/(n))=(sqrt(8))^(2)

Find the value of m and n : if : ( 3+ sqrt2 )/( 3- sqrt2) = m + n sqrt2

Find the value of m and n : if : ( 5+ 2sqrt3)/( 7+ 4sqrt3) = m + n sqrt3

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

If tantheta+sintheta=m and tantheta-sintheta=n , then the value of m^2-n^2 is equal to (a)4 mn (b) 2sqrt(mn) (c) 4sqrt(mn) (d) 2sqrt(m//n)

find the value of polynomiol p(n)=8n^(3)-6n^(2)+5n-1, when n=sqrt(2)

Find the values of m and n, in each case, If: (-6, n+2) on reflection in origin gives (m+3, -4)

The Sequence {a_(n)}_(n=1)^(+oo) is defined by a_(1)=0 and a_(n+1)=a_(n)+4n+3,n>=1 . Find the value of lim_(n rarr+oo)(sqrt(a_(n))+sqrt(a_(4n))+sqrt(a_(4^(2)n))+sqrt(a_(4^(3)n))+......+sqrt(a_(4^(10)n)))/(sqrt(a_(n))+sqrt(a_(2n))+sqrt(a_(2^(2)n))+sqrt(a_(2^(3)n))+.....+sqrt(a_(2^(10)n)))

If z lies on the locus |(z+2)/(z+i)|=2 and by transformation w rarr z+((4)/(3)+sqrt((20)/(9))i) (say) a new locus is formed,then the greatest value of |w| is (2)/(3)(sqrt(m)+sqrt(n)) ; then evaluate |m-n|

If nEN and a_(n)=2^(2)+4^(2)+6^(2)+....+(2n)^(2) and b=1^(2)+3^(2)+5^(2)+...(2n-1)^(2). Find the value lim_(n rarr oo)((sqrt(a_(n))-sqrt(b_(n)))/(sqrt(n)))