Find the fourth proportional of `sqrt2, sqrt3, sqrt5`.

What is the mean proportional of 3 + sqrt2 , 12 - sqrt32

(2sqrt3 + sqrt5)(2sqrt3 - sqrt5)

Find the value of p, when a/sqrt2 = b/sqrt3 = c/sqrt5 = (sqrt(2a) - sqrt(3b) + sqrt(5c))/p .

The value of [sqrt2]+[sqrt3]+[sqrt5]

(a) The fourth-proportional of 8, 10 and 12 is _________ . (b) The value of p when a/sqrt3 = b/sqrt5 = c/sqrt7 = (sqrt(3a) + sqrt(5b) - sqrt(7c))/p is ______ .

Find the sum of (3sqrt3+7sqrt2) and (sqrt3-5sqrt2)

Find the product: (5 - sqrt3) (sqrt3 -1) (5 + sqrt3) (sqrt3 +1)

Find the value of determinant ,sqrt((13))+sqrt(3),2sqrt(5),sqrt(5)sqrt((15))+sqrt((26)),5,sqrt((10))3+sqrt((65)),sqrt((15)),5]|

Find the value of determinat |{:(sqrt(13)+sqrt(3),2sqrt(5),sqrt(5)),(sqrt(15)+sqrt(26),5,sqrt(10)),(3+sqrt(65),sqrt(15),5):}| .