Question

$( \frac{4}{5 \sqrt{2} } + \frac{3}{ \sqrt{8} } - ( \frac{5 \sqrt{2} }{4} - \frac{3}{ \sqrt{2} } )$
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Answer 1

Răspuns

Explicație pas cu pas:

4/5√2 + 3/√8 = 4/5√2 + 3/2√2 = 8/10√2 + 15/10√2 = 23/10√2

5√2/4 - 3/√2 = 5/2√2 - 3/√2 = 5/2√2 -  6/2√2 = -1/2√2 = -5/10√2

23/10√2 - (-5/10√2) = 23/10√2 + 5/10√2 = 28/10√2 = 14/5√2 = 7√2/5

Answer 2

Răspuns

Explicație pas cu pas:

4 / ( 5√2)  + 3 / √8 - ( 5√2 / 4 - 3 / √2 ) = 7√2 / 5

= 4√2 / 10 + 3√8 / 8 - ( 5√2 / 4 - 3√2 / 2 ) =

= 2√2 / 5 + ( 3×2√2)/ 8 - ( 5√2 / 4 - 6√2 / 4 ) =

= 2√2 / 5 + 3√2 / 4 - ( - √2 / 4 ) =

= 8√2 / 20 + 15√2 / 20 + √2 / 4 =

= 23√2 / 20 + 5√2 / 20 =

= 28√2 / 20 =

= 7√2 / 5