Question

Evaluate:(√5+2√2)+(√8-2√15)

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Answer 1

✰Answer :

✵ Solution:-

√5+216)√5+216)

⇛√(3+2+2√3.√2)=√(3+2+2√3.√2)

⇛√[(√3)?+2.√3. √2+(√2)?)=√[(√3) +2.√3.√2(√2)?)

⇛√(√3+√2)?=√(√3+√2)?

⇛√3+√2=√3+√2

(neglecting the negative sign)

√(8-2√15)√(8−2√15)

⇛√(5+3-2. √5.√3)=√(5+3−2.√5.√3)

⇛√{{√5)?-2.√5.√3+(√3)²}

⇛√(√5-√3)?=√(√5−√3)?

⇛√5-√3=√5−√3

(neglecting the negative sign)

, √(5+2√6)+√(8-2/15),√(5+2√6)+√(8−2/15)

⇛√3+√2+√5-√3 =√2+√5 Ans.

Therefore :

⠀⠀⠀⠀⠀⠀⠀⠀⠀⇛√3+√2+√5−√3

⠀⠀⠀⠀⠀⠀⠀⠀⇛√2+√5 Ans.

Answer 2

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See the above attachment!❤