Question

3³√32×3³√4
Step By Step Solution
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Answer 1

Question:

3³√32×3³√4

Solution:

$3³√32×3³√4$

$\implies3³( \sqrt{32} \times \sqrt{4} )$

$\implies3³( \sqrt{32 \times 4} )$

$\implies 3³( \sqrt{128} )$

$\implies 27 \times ( 8 \sqrt{2} ) \quad \quad \: ( {3}^{3} = 27)$

$\implies 216 \sqrt{2}$

Answer 2

Answer:

Question:

3³√32×3³√4

Solution:

3³√32×3³√43³√32×3³√4

\implies3³( \sqrt{32} \times \sqrt{4} )⟹3³(32×4)

\implies3³( \sqrt{32 \times 4} )⟹3³(32×4)

\implies 3³( \sqrt{128} )⟹3³(128)

\implies 27 \times ( 8 \sqrt{2} ) \quad \quad \: ( {3}^{3} = 27)⟹27×(82)(33=27)

\implies 216 \sqrt{2}⟹2162