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Rationalisation

The value of ...

Question

The value of (√32+√48)/(√8+√12) is
A) √2
B) 2
C) 4
D) 8

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Solution

(√32+√48)/(√8+√12)
=[√(16×2)+√(16×3)]/[√(4×2)+√(4×3)]
=[(√16×√2)+(√16×√3)]/[(√4×√2)+(√4×√3)]
=[4√2+(4√3)]/[(2√2)+2√3]
=[4(√2+√3)]/[2(√2+√3)]
=2
∴[√32+√48]/[√8+√12]=2
Hence, The correct Option is B.

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