Question

Simplify this please!!​

Answer 1

10√13 +25√2

Explanation:

Factoring the given radicals to primes gives us a clue as to how to simplify the expression.

`√(1300)-√(882)+√(968)+√(1152)\\\\=√(10^2\cdot13)-√(21^2\cdot2)+√(22^2\cdot2)+√(24^2\cdot2)\\\\=10√(13)+(-21+22+24)√(2)=\boxed{10√(13)+25√(2)}`