One of the roots of the equation `2000x^6 + 100x^5 + 10x^3 + x-2 = 0` is of the form `(m+ sqrtn)/r` , when m 29. is non zero integer and n and r are relatively prime natural numbers. Find the value of `m+n+ r`.

One of the roots of the equation 2000x^6 + 100x^5 + 10x^3 + x-2 =0 is of the form (m+sqrt(n))/ (r ) , where m is non zero integer and n and r are relatively prime natural numbers. Find the value of m + n + r .

One of the roots of the equation 2000x^(6)+100x^(5)+10x^(3)+x-2=0 is of the form (m+sqrt(n))/(r), when m29. is non zero integer and and r are relatively prime natural numbers.Find the value of m+n+r

One of the roots of the equation 2000x^6 +100x^5 +10x^3+x-2=0 is the form (sqrt(m)-n))/( r) , where m is non zero integer and n and r are relatively prime natural numbers. Find the value of m+n+r .

One of the roots of the equation 54x^(6)+27x^(5)+9x^(3)+3x=2(x^(2)!=(1)/(3)) is form (-sqrt(m)+-sqrt(n))/(sqrt(3).r) where m non zero integer and n and r are co-prime to each other,then the value of (m+n).r is equal to

If x be any non zero integer and m, n be negative integers. Then x^(m)xxx^(n) is equal to

x^(m)xx x^(n)=x^(m+n) , where x is a non zero rational number and m,n are positive integers.

If m and n are the roots of the equations x^(2) - 6x+ 2 =0 then the value of (1)/(m) + (1)/( n) is :

If m, n are the roots of the equations x^(2) -2x+ 3 =0 . Find the value of (1)/(m^(2)) +(1)/( n^(2))

If both roots of the equation x^(2)-(m-3)x+m=0 (m \in R) are positive, then

If m and n are the roots of the equations x^(2) -3x +4 =0 then find the value of m^(2)n+mn^(2)