Question

evaluate √(5+2√6) + √(8-2√15)​

Answer 1

$\sf \colorbox{gold} {\red(ANSWER ᵇʸ ⁿᵃʷᵃᵇ⁰⁰⁰⁸}$

$√5+216)$

$=√(3+2+2√3.√2)$

$=√[(√3)?+2.√3. √2+(√2)?)$

$=√(√3+√2)?$

$=√3+√2$

(neglecting the negative sign)

$√(8-2√15)$

$=√(5+3-2. √5.√3)$

$=√{{√5)?-2.√5.√3+(√3)²}$

$=√(√5-√3)?$

$=√5-√3$

(neglecting the negative sign)

$, √(5+2√6)+√(8-2/15)$

$=√3+√2+√5-√3 \\ =√2+√5 Ans.$