2√(6)× 3√(3) =2√(2)× 3 × 3 √(3) =2√(2)√(3)× 3 √(3) =2 × 3 ×√(2)×√(3)×√(3) =6 √(2)× 3 =18√(2) ...

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Prime Factorisation

Multiply: 2 √...

Question

Multiply: $2 \sqrt{6} \times 3 \sqrt{3}$

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Solution

$2 \sqrt{6} \times 3 \sqrt{3}$
$= 2 \sqrt{2} \times 3 \times 3 \sqrt{3} = 2 \sqrt{2} \sqrt{3} \times 3 \sqrt{3} = 2 \times 3 \times \sqrt{2} \times \sqrt{3} \times \sqrt{3} = 6 \sqrt{2} \times 3 = 18 \sqrt{2}$

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