1.

Find the value of √(21+4√5+8√3+4√15)​

Answer»

ANSWER:

√(21+4√5+8√3+4√15)

√(21+2√20+2√48+2√60)

√(12+5+4+2√5*4+2√4*12+2√5*12)

√((√12) ²+(√5) ²+(√4) ²+2√5*12+2√5*4+2√4*12)

USING IDENTITY,

a²+b²+c²+2ab+2bc+2ca=(a+b+c) ²

so,

√((√12) ²+(√5) ²+(√4) ²+2√5*12+2√5*4+2√4*12) =

(√12+√5+√4) =2√3+√5+2.

Mark as BRAINLIST answer.



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