If a3 + 3a2b + 3ab2 + b3 = 3√3, Which one of the following is the value of √(a + b)?
Solution
Correct Answer: Option A
a3 + 3a2b + 3ab2 + b3 =3√3
or,(a + b)3 = 3 √3
or,a + b = 3√(3√3)
or,a + b =(3√3)1/3
or,√(a+b)=√{(3√3)1/3}
=(3√3) 1/(3×2)
=(3√3)1/6
={(√3)2 × ×3}1/6
={(√3)3}1/6
={31/2}1/2
=31/4
=4√3
or,(a + b)3 = 3 √3
or,a + b = 3√(3√3)
or,a + b =(3√3)1/3
or,√(a+b)=√{(3√3)1/3}
=(3√3) 1/(3×2)
=(3√3)1/6
={(√3)2 × ×3}1/6
={(√3)3}1/6
={31/2}1/2
=31/4
=4√3
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