Question

evaluate

√(5+2√6) + √(8-2√15)

Answer 1

(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.