Two surds problems - one involving simultaneous equations..

1. Two sides of a triangle are 5sqrt(3) and 10sqrt(2) respectively, while the hypotenuse is unknown. Here I tried finding the hypotenuse using pythagoras theorem.

x ^ 2 = (5sqrt(3))^2 + (10sqrt(2)) ^ 2

The answer on should be x = 5sqrt(11) but I get 5sqrt(3) + 10 (Headbang)

2. Two simultaneous equations are as follows:

Code:

`7x - (3sqrt(5))y = 9sqrt(5) (1)`

(2sqrt(5)x + y = 34 (2)

I tried rearranging (1) to y = (9sqrt(5) - 7x) / 3sqrt(5) but I cannot reach an answer at all :( ..

Please help..

P.S. Is there any tutorial on how to generate real maths symbols on this forum?