" (iv) "(sqrt(10)+sqrt(15))/(sqrt(2))

Find the value to three places of decimals of each of the following. It is given that sqrt(2)=1. 414 ,\ \ sqrt(3)=1. 732\ ,\ \ \ sqrt(5)=2. 236 and sqrt(10)\ =\ \ 3. 162 i) (sqrt(5)+1)/(sqrt(2)) (ii) (sqrt(10)+\ sqrt(15))/(sqrt(2))

Find the value to three places of decimals of each of the following.It is given that sqrt(2)=1.414,sqrt(3)=1.732,quad sqrt(5)=2.236 and sqrt(10)=3.162(sqrt(5)+1)/(sqrt(2)) (ii) (sqrt(10)+sqrt(15))/(sqrt(2))

sqrt(10)xx sqrt(15)

For (1)/(asqrt(x)+bsqrt(y)) the rationalising factor is a asqrt(x)-bsqrt(y) . If x=(7sqrt(3))/(sqrt(10)+sqrt(3))-(3sqrt(2))/(sqrt(15)+3sqrt(2))-(2sqrt(5))/(sqrt(6)+sqrt(5)) , then value of x^(4)+x^(2) is

The sum of the series (1)/(sqrt(1)+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+sqrt(4))+ up to 15 terms is

|{:(sqrt(14)+sqrt3,sqrt(20),sqrt5),(sqrt(15)+sqrt(28),sqrt(25),sqrt(10)),(3+sqrt(70),sqrt(15),sqrt(25)):}|=.......

Simplify: (7sqrt(3))/(sqrt(10)+sqrt(3))-(2sqrt(5))/(sqrt(6)+sqrt(5))-(3sqrt(2))/(sqrt(15)+3sqrt(2))