Question

O valor da expressão (32^1/2 - 2^1/2) x 81^1/2

Answer 1

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$(32^{ \frac{1}{2} }-2^{ \frac{1}{2} })\times81^{ \frac{1}{2}}= \\ ( \sqrt{32} - \sqrt{2} )\times \sqrt{81} = \\ (\sqrt{2^4.2} - \sqrt{2} )\times \sqrt{3^4} = \\ (2^2 \sqrt{2} - \sqrt{2} )\times3^2= \\ (4 \sqrt{2} - \sqrt{2} )\times9= \\ (3 \sqrt{2} )\times9= \\ 27 \sqrt{2}$

Answer 2

    
 
 

O valor da expressão (32^1/2 - 2^1/2) x 81^1/2

   
(32^1/2 - 2^1/2) x 81^1/2
(√32 - √2)x √81
(√2^4.2 - √2)x 9
(2²√2 - √2)x 9
(4√2 - √2)x 9
(3√2 )x 9    
====> 27√2