(iii) find the value `(5+(sqrt-7))(5-sqrt-7)`

Find the value of 5/(sqrt11-sqrt7)

Find the square root of 7 correct to two decimal places, then use it to find the value of sqrt((4 + sqrt(7))/(4 - sqrt(7))) correct to three significant digits.

If sqrt(784) = 28 , find the value of : (i) sqrt(7.84) + sqrt(78400) (ii) sqrt(0.0784) + sqrt(0.000784)

(i) Find a and b when (3+ sqrt(7)) /(3-sqrt(7))= (a+bsqrt(7))

The value of log_((8-3sqrt7))(8+3sqrt7) is

The value of log_((sqrt(2)-1))(5sqrt(2)-7) is :

Simplify (5+sqrt(7))(5+sqrt(2))

sqrt(x+5)+sqrt(20-x)=7

Find (x+a)^(5)+(x-a)^(5) . Hence, evaluate (sqrt(6)+sqrt(7))^(5)+(sqrt(6)-sqrt(7))^(5)

If the ellipse (x^2)/(a^2-7)+(y^2)/(13=5a)=1 is inscribed in a square of side length sqrt(2)a , then a is equal to 6/5 (-oo,-sqrt(7))uu(sqrt(7),(13)/5) (-oo,-sqrt(7))uu((13)/5,sqrt(7),) no such a exists