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# (Sqrt8 + sqrt12)(sqrt48 + sqrt18)?

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### 3 Answers

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[√(8) + √(12)] [√(48) + √(18)]

= [√(2³) + √(2² × 3)] [√(4² × 3) + √(3² × 2)]

= [2√(2) + 2√(3)] [4√(3) + 3√(2)]

= 8√(2 × 3) + 6√(2²) + 8√(3²) + 6√(3 × 2)

= 8√(6) + 12 + 24 + 6√(6)

= 36 + 14√6

• (√8 + √12)(√48 + √18)

= (√384 + √576 + √144 + √216)

= 8√6 + 24 + 12 + 6√2)

= 36 + 6√2 + 8√6

= 70.2928563989645

• sqrt(8) = 2 sqrt(2)

sqrt(12) = 2 sqrt(3)

sqrt(48) = 4 sqrt(3)

sqrt(18) = 3 sqrt(2)

Putting it all together, I get 14sqrt(6) + 36

About 70.292856...

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