Simplify- 3 -3-2 -22 -3-3 -2

The correct option is A 30+13√(6) When we multiply these two terms, we get (3√(3)+2√(2))(2√(3)+3√(2)) = 6√(9)+9√(6)+4√(6)+6√(4) = 6(3)+13√(6)+6(2) =18+12+1 ...

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Byju's Answer

Standard IX

Mathematics

Addition and Subtraction of Like and Unlike Surds

Simplify: 3 √...

Question

Simplify: $(3 \sqrt{3} + 2 \sqrt{2})$ $(2 \sqrt{3} + 3 \sqrt{2})$

$30 + 13 \sqrt{6}$

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$24 + 6 \sqrt{6}$

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$30 + 6 \sqrt{6}$

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$24 + 13 \sqrt{6}$

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Solution

The correct option is A
$30 + 13 \sqrt{6}$

When we multiply these two terms, we get

$(3 \sqrt{3} + 2 \sqrt{2}) (2 \sqrt{3} + 3 \sqrt{2}) = 6 \sqrt{9} + 9 \sqrt{6} + 4 \sqrt{6} + 6 \sqrt{4} = 6 (3) + 13 \sqrt{6} + 6 (2) = 18 + 12 + 13 \sqrt{6} = 30 + 13 \sqrt{6}$

Suggest Corrections

Simplify: (3√3+2√2)(2√3+3√2)

The correct option is A 30+13√6 When we multiply these two terms, we get (3√3+2√2)(2√3+3√2)=6√9+9√6+4√6+6√4=6(3)+13√6+6(2)=18+12+13√6=30+13√6

Simplify: $(3 \sqrt{3} + 2 \sqrt{2})$ $(2 \sqrt{3} + 3 \sqrt{2})$

The correct option is A
$30 + 13 \sqrt{6}$

When we multiply these two terms, we get

$(3 \sqrt{3} + 2 \sqrt{2}) (2 \sqrt{3} + 3 \sqrt{2}) = 6 \sqrt{9} + 9 \sqrt{6} + 4 \sqrt{6} + 6 \sqrt{4} = 6 (3) + 13 \sqrt{6} + 6 (2) = 18 + 12 + 13 \sqrt{6} = 30 + 13 \sqrt{6}$