" 32.यदि "x=sqrt(2+sqrt(2+sqrt(2+...)))" so "x" Will have a root of "

lim_(x rarr 2) (sqrt(x-2) + sqrt(x) - sqrt(2))/(sqrt(x^(2) - 4)) is equal to :

If x = (sqrt(3) + sqrt(2))/(sqrt(3) - sqrt(2)) , find the value of x^(2) + (1)/(x^(2)) .

If the value of (3x sqrt y+2y sqrt x)/(3x sqrt y-2y sqrt x)-(3x sqrt y-2y sqrt x)/(3x sqrt y+2y sqrt x) is same as that of sqrt x sqrt y , then which of the following relations between x and y is correct? यदि (3x sqrt y+2y sqrt x)/(3x sqrt y-2y sqrt x)-(3x sqrt y-2y sqrt x)/(3x sqrt y+2y sqrt x) का मान sqrt x sqrt y के समान है, तो निम्नलिखित में से कौन सा संबंध x और y के बीच सही है?

sqrt(x+14-8sqrt(x-2))+ sqrt(x+23-10sqrt(x-2))=3 Find number of real root

In the quadratic equation A(sqrt(3)-sqrt(2))x^(2)+(B)/((sqrt(3)+sqrt(2)))x+C=0 with alpha,beta as its roots.