Question

√5+2√6 +√8-2√15 simplify ​

Answer 1

Answer:

√(5+2√6)

=√(3+2+2√3.√2)

=√{(√3)²+2.√3.√2+(√2)²}

=√(√3+√2)²

=√3+√2  (neglecting the negative sign)

√(8-2√15)

=√(5+3-2.√5.√3)

=√{(√5)²-2.√5.√3+(√3)²}

=√(√5-√3)²

=√5-√3 (neglecting the negative sign)

∴, √(5+2√6)+√(8-2√15)

=√3+√2+√5-√3

=√2+√5 Ans.