√27a+√36a+√48a+√25a

Question

four different radicals.

Answer 1

Given

√27a + √36 a + √48 a + V25 a

= √9*3 a + 6 a + √16*3 a + 5 a

= 3√3 a + 6 a + 4 √3 a + 5 a

=  6 a + 5 a + 4 √3 a + 3√3 a

= 11a + 7√3 a

 = (11+ 7√3 ) a

Solution :

√27a + √36 a + √48 a + V25 a = (11+ 7√3 )a.