Question

Square root of 14+6root5

Answer 1

Answer:

14+6√5

=9+5+6√5

=3²+√5²+6√5

=3²+6√5+√5²

=3²+2*3*√5+√5²

=a²+2ab+b²

=(a+b)²

Hence,

14+6√5= (3+√5)²

Square root of 14+6√5=Square root of (3+√5)²

Square root of 14+6√5=3+√5